diff --git a/hibernate-core/src/main/java/org/hibernate/internal/util/collections/LinkedIdentityHashMap.java b/hibernate-core/src/main/java/org/hibernate/internal/util/collections/LinkedIdentityHashMap.java
new file mode 100644
index 000000000000..564bf1009e73
--- /dev/null
+++ b/hibernate-core/src/main/java/org/hibernate/internal/util/collections/LinkedIdentityHashMap.java
@@ -0,0 +1,297 @@
+/*
+ * SPDX-License-Identifier: Apache-2.0
+ * Copyright Red Hat Inc. and Hibernate Authors
+ */
+package org.hibernate.internal.util.collections;
+
+import java.util.AbstractMap;
+import java.util.AbstractSet;
+import java.util.Arrays;
+import java.util.Iterator;
+import java.util.Map;
+import java.util.NoSuchElementException;
+import java.util.Objects;
+import java.util.Set;
+
+
+/**
+ * Utility {@link Map} implementation that uses identity (==) for key comparison and preserves insertion order
+ */
+public class LinkedIdentityHashMap<K, V> extends AbstractMap<K, V> implements Map<K, V> {
+	private static final int DEFAULT_INITIAL_CAPACITY = 16; // must be power of two
+
+	static final class Node<K, V> implements Map.Entry<K, V> {
+		final K key;
+		V value;
+		Node<K, V> next;
+		Node<K, V> before;
+		Node<K, V> after;
+
+		Node(K key, V value, Node<K, V> next) {
+			this.key = key;
+			this.value = value;
+			this.next = next;
+		}
+
+		@Override
+		public K getKey() {
+			return key;
+		}
+
+		@Override
+		public V getValue() {
+			return value;
+		}
+
+		@Override
+		public V setValue(V newValue) {
+			final V old = value;
+			value = newValue;
+			return old;
+		}
+
+		@Override
+		public boolean equals(Object o) {
+			return o instanceof Node<?, ?> node && key == node.key && Objects.equals( value, node.value );
+		}
+
+		@Override
+		public int hashCode() {
+			int result = System.identityHashCode( key );
+			result = 31 * result + Objects.hashCode( value );
+			return result;
+		}
+
+		@Override
+		public String toString() {
+			return key + "=" + value;
+		}
+	}
+
+	private Node<K, V>[] table;
+	private int size;
+
+	private Node<K, V> head;
+	private Node<K, V> tail;
+
+	private transient Set<Map.Entry<K, V>> entrySet;
+
+	public LinkedIdentityHashMap() {
+		this( DEFAULT_INITIAL_CAPACITY );
+	}
+
+	public LinkedIdentityHashMap(int initialCapacity) {
+		if ( initialCapacity < 0 ) {
+			throw new IllegalArgumentException( "Illegal initial capacity: " + initialCapacity );
+		}
+		int cap = 1;
+		while ( cap < initialCapacity ) {
+			cap <<= 1;
+		}
+		//noinspection unchecked
+		table = (Node<K, V>[]) new Node[cap];
+	}
+
+	private static int indexFor(int hash, int length) {
+		return hash & (length - 1);
+	}
+
+	@Override
+	public V get(Object key) {
+		final Node<K, V> e = getNode( key );
+		return e != null ? e.value : null;
+	}
+
+	private Node<K, V> getNode(Object key) {
+		final int hash = System.identityHashCode( key );
+		final int idx = indexFor( hash, table.length );
+		for ( Node<K, V> e = table[idx]; e != null; e = e.next ) {
+			if ( e.key == key ) {
+				return e;
+			}
+		}
+		return null;
+	}
+
+	@Override
+	public boolean containsKey(Object key) {
+		return getNode( key ) != null;
+	}
+
+	@Override
+	public boolean containsValue(Object value) {
+		for ( Node<K, V> e = head; e != null; e = e.after ) {
+			if ( Objects.equals( e.value, value ) ) {
+				return true;
+			}
+		}
+		return false;
+	}
+
+	@Override
+	public V put(K key, V value) {
+		final int hash = System.identityHashCode( key );
+		final int idx = indexFor( hash, table.length );
+		for ( Node<K, V> e = table[idx]; e != null; e = e.next ) {
+			if ( e.key == key ) {
+				final V old = e.value;
+				e.value = value;
+				return old;
+			}
+		}
+		// not found -> insert
+		final Node<K, V> newNode = new Node<>( key, value, table[idx] );
+		table[idx] = newNode;
+		linkLast( newNode );
+		size++;
+		if ( size == table.length ) {
+			resize();
+		}
+		return null;
+	}
+
+	private void linkLast(Node<K, V> node) {
+		if ( tail == null ) {
+			head = tail = node;
+		}
+		else {
+			tail.after = node;
+			node.before = tail;
+			tail = node;
+		}
+	}
+
+	@Override
+	public V remove(Object key) {
+		final int hash = System.identityHashCode( key );
+		final int idx = indexFor( hash, table.length );
+		Node<K, V> prev = null;
+		for ( Node<K, V> e = table[idx]; e != null; prev = e, e = e.next ) {
+			if ( e.key == key ) {
+				// remove from bucket chain
+				if ( prev == null ) {
+					table[idx] = e.next;
+				}
+				else {
+					prev.next = e.next;
+				}
+				// unlink from insertion-order list
+				final Node<K, V> b = e.before;
+				final Node<K, V> a = e.after;
+				if ( b == null ) {
+					head = a;
+				}
+				else {
+					b.after = a;
+				}
+				if ( a == null ) {
+					tail = b;
+				}
+				else {
+					a.before = b;
+				}
+				size--;
+				return e.value;
+			}
+		}
+		return null;
+	}
+
+	@Override
+	public void clear() {
+		Arrays.fill( table, null );
+		head = tail = null;
+		size = 0;
+	}
+
+	@Override
+	public int size() {
+		return size;
+	}
+
+	private void resize() {
+		final int oldCap = table.length;
+		final int newCap = oldCap << 1;
+		//noinspection unchecked
+		final Node<K, V>[] newTable = (Node<K, V>[]) new Node[newCap];
+		for ( int i = 0; i < oldCap; i++ ) {
+			Node<K, V> e = table[i];
+			while ( e != null ) {
+				final Node<K, V> next = e.next;
+				final int idx = indexFor( System.identityHashCode( e.key ), newCap );
+				e.next = newTable[idx];
+				newTable[idx] = e;
+				e = next;
+			}
+		}
+		table = newTable;
+	}
+
+	final class EntryIterator implements Iterator<Map.Entry<K, V>> {
+		private Node<K, V> next = head;
+		private Node<K, V> current = null;
+
+		@Override
+		public boolean hasNext() {
+			return next != null;
+		}
+
+		@Override
+		public Node<K, V> next() {
+			Node<K, V> e = next;
+			if ( e == null ) {
+				throw new NoSuchElementException();
+			}
+			current = e;
+			next = e.after;
+			return e;
+		}
+
+		@Override
+		public void remove() {
+			Node<K, V> e = current;
+			if ( e == null ) {
+				throw new IllegalStateException();
+			}
+			LinkedIdentityHashMap.this.remove( e.key );
+			current = null;
+		}
+	}
+
+	final class EntrySet extends AbstractSet<Entry<K, V>> {
+		@Override
+		public Iterator<Entry<K, V>> iterator() {
+			return new EntryIterator();
+		}
+
+		@Override
+		public int size() {
+			return LinkedIdentityHashMap.this.size;
+		}
+
+		@Override
+		public void clear() {
+			LinkedIdentityHashMap.this.clear();
+		}
+
+		@Override
+		public boolean contains(Object o) {
+			if ( o instanceof Entry<?, ?> e ) {
+				final Node<K, V> n = getNode( e.getKey() );
+				return n != null && Objects.equals( n.value, e.getValue() );
+			}
+			return false;
+		}
+
+		@Override
+		public boolean remove(Object o) {
+			return o instanceof Entry<?, ?> e && LinkedIdentityHashMap.this.remove( e.getKey() ) != null;
+		}
+	}
+
+	@Override
+	public Set<Map.Entry<K, V>> entrySet() {
+		Set<Map.Entry<K, V>> es;
+		return (es = entrySet) == null ? (entrySet = new EntrySet()) : es;
+	}
+}
diff --git a/hibernate-core/src/main/java/org/hibernate/query/sqm/internal/DomainParameterXref.java b/hibernate-core/src/main/java/org/hibernate/query/sqm/internal/DomainParameterXref.java
index dc5c8a1868d9..79d7e2929f10 100644
--- a/hibernate-core/src/main/java/org/hibernate/query/sqm/internal/DomainParameterXref.java
+++ b/hibernate-core/src/main/java/org/hibernate/query/sqm/internal/DomainParameterXref.java
@@ -6,11 +6,11 @@
 
 import java.util.ArrayList;
 import java.util.IdentityHashMap;
-import java.util.LinkedHashMap;
 import java.util.List;
 import java.util.Map;
 import java.util.TreeMap;
 
+import org.hibernate.internal.util.collections.LinkedIdentityHashMap;
 import org.hibernate.query.internal.QueryParameterNamedImpl;
 import org.hibernate.query.internal.QueryParameterPositionalImpl;
 import org.hibernate.query.spi.QueryParameterImplementor;
@@ -31,7 +31,7 @@
 public class DomainParameterXref {
 
 	public static final DomainParameterXref EMPTY = new DomainParameterXref(
-			new LinkedHashMap<>( 0 ),
+			new LinkedIdentityHashMap<>( 0 ),
 			new IdentityHashMap<>( 0 ),
 			SqmStatement.ParameterResolutions.empty()
 	);
@@ -46,8 +46,8 @@ public static DomainParameterXref from(SqmStatement<?> sqmStatement) {
 		}
 		else {
 			final int sqmParamCount = parameterResolutions.getSqmParameters().size();
-			final LinkedHashMap<QueryParameterImplementor<?>, List<SqmParameter<?>>> sqmParamsByQueryParam =
-					new LinkedHashMap<>( sqmParamCount );
+			final Map<QueryParameterImplementor<?>, List<SqmParameter<?>>> sqmParamsByQueryParam =
+					new LinkedIdentityHashMap<>( sqmParamCount );
 			final IdentityHashMap<SqmParameter<?>, QueryParameterImplementor<?>> queryParamBySqmParam =
 					new IdentityHashMap<>( sqmParamCount );
 
@@ -118,13 +118,13 @@ else if ( sqmParameter.getExpressible() != null
 
 	private final SqmStatement.ParameterResolutions parameterResolutions;
 
-	private final LinkedHashMap<QueryParameterImplementor<?>, List<SqmParameter<?>>> sqmParamsByQueryParam;
+	private final Map<QueryParameterImplementor<?>, List<SqmParameter<?>>> sqmParamsByQueryParam;
 	private final IdentityHashMap<SqmParameter<?>, QueryParameterImplementor<?>> queryParamBySqmParam;
 
 	private Map<SqmParameter<?>,List<SqmParameter<?>>> expansions;
 
 	private DomainParameterXref(
-			LinkedHashMap<QueryParameterImplementor<?>, List<SqmParameter<?>>> sqmParamsByQueryParam,
+			Map<QueryParameterImplementor<?>, List<SqmParameter<?>>> sqmParamsByQueryParam,
 			IdentityHashMap<SqmParameter<?>, QueryParameterImplementor<?>> queryParamBySqmParam,
 			SqmStatement.ParameterResolutions parameterResolutions) {
 		this.sqmParamsByQueryParam = sqmParamsByQueryParam;
@@ -148,7 +148,9 @@ public boolean hasParameters() {
 	}
 
 	/**
-	 * Get all of the QueryParameters mapped by this xref
+	 * Get all the QueryParameters mapped by this xref.
+	 * Note that order of parameters is important - parameters are
+	 * included in cache keys for query results caching.
 	 */
 	public Map<QueryParameterImplementor<?>, List<SqmParameter<?>>> getQueryParameters() {
 		return sqmParamsByQueryParam;
diff --git a/hibernate-core/src/main/java/org/hibernate/query/sqm/tree/expression/ValueBindJpaCriteriaParameter.java b/hibernate-core/src/main/java/org/hibernate/query/sqm/tree/expression/ValueBindJpaCriteriaParameter.java
index 551041b1fbc1..880520028197 100644
--- a/hibernate-core/src/main/java/org/hibernate/query/sqm/tree/expression/ValueBindJpaCriteriaParameter.java
+++ b/hibernate-core/src/main/java/org/hibernate/query/sqm/tree/expression/ValueBindJpaCriteriaParameter.java
@@ -10,6 +10,7 @@
 import org.hibernate.query.sqm.tree.SqmCopyContext;
 import org.hibernate.query.sqm.tree.SqmRenderContext;
 
+import java.util.Objects;
 
 
 /**
@@ -59,12 +60,34 @@ public int compareTo(SqmParameter<T> parameter) {
 	}
 
 	@Override
-	public boolean equals(Object object) {
-		return this == object;
+	public boolean equals(Object obj) {
+		if ( this == obj ) {
+			return true;
+		}
+		if ( obj instanceof ValueBindJpaCriteriaParameter<?> that ) {
+			if ( value == null ) {
+				return that.value == null && Objects.equals( getNodeType(), that.getNodeType() );
+			}
+			final var javaType = getJavaTypeDescriptor();
+			if ( that.value != null ) {
+				if ( javaType != null ) {
+					//noinspection unchecked
+					return javaType.equals( that.getJavaTypeDescriptor() ) && javaType.areEqual( value, (T) that.value );
+				}
+				else {
+					return that.getJavaTypeDescriptor() == null && value.equals( that.value );
+				}
+			}
+		}
+		return false;
 	}
 
 	@Override
 	public int hashCode() {
-		return super.hashCode();
+		if ( value == null ) {
+			return 0;
+		}
+		final var javaType = getJavaTypeDescriptor();
+		return javaType == null ? value.hashCode() : javaType.extractHashCode( value );
 	}
 }
diff --git a/hibernate-core/src/main/java/org/hibernate/query/sqm/tree/jpa/ParameterCollector.java b/hibernate-core/src/main/java/org/hibernate/query/sqm/tree/jpa/ParameterCollector.java
index ea302c20026a..633e5f2451a2 100644
--- a/hibernate-core/src/main/java/org/hibernate/query/sqm/tree/jpa/ParameterCollector.java
+++ b/hibernate-core/src/main/java/org/hibernate/query/sqm/tree/jpa/ParameterCollector.java
@@ -5,7 +5,7 @@
 package org.hibernate.query.sqm.tree.jpa;
 
 import java.util.Collections;
-import java.util.HashSet;
+import java.util.IdentityHashMap;
 import java.util.Set;
 import java.util.function.Consumer;
 
@@ -132,7 +132,7 @@ private <T> BindableType<T> getInferredParameterType(JpaCriteriaParameter<?> exp
 
 	private <T extends SqmParameter<?>> T visitParameter(T param) {
 		if ( parameterExpressions == null ) {
-			parameterExpressions = new HashSet<>();
+			parameterExpressions = Collections.newSetFromMap( new IdentityHashMap<>() );
 		}
 		parameterExpressions.add( param );
 		consumer.accept( param );
@@ -141,7 +141,7 @@ private <T extends SqmParameter<?>> T visitParameter(T param) {
 
 	private <T> SqmJpaCriteriaParameterWrapper<T> visitParameter(SqmJpaCriteriaParameterWrapper<T> param) {
 		if ( parameterExpressions == null ) {
-			parameterExpressions = new HashSet<>();
+			parameterExpressions = Collections.newSetFromMap( new IdentityHashMap<>() );
 		}
 		parameterExpressions.add( param.getJpaCriteriaParameter() );
 		consumer.accept( param );