fix

Set the target parent when initializing.
Added additional checks when getting the current interpolated value to handle the interpolation frames between the current and next measurement states.

Author: NoelStephensUnity

com.unity.netcode.gameobjects/Runtime/Components/Interpolator/BufferedLinearInterpolator.cs

@@ -296,7 +296,7 @@ private void ConvertTransformSpace()
             {
                 if (InterpolateState.TargetParent != null)
                 {
-                    // Convert to world space.
+                    // Convert to world space or local space depending upon what our current parent is.
                     ConvertInterpolateStateValues(InterpolateState.TargetParent, false);
                 }
 
@@ -316,7 +316,7 @@ private void InternalReset(Transform parent, T targetValue, double serverTime, b
 
             // Set our initial value (what we will interpolate from relative to the next state update received)
             InterpolateState.Reset(currentValue);
-
+            InterpolateState.TargetParent = parent;
             if (addMeasurement)
             {
                 // Add the first measurement for our baseline
@@ -686,7 +686,22 @@ internal void AddMeasurement(Transform parent, T newMeasurement, double sentTime
         [MethodImpl(MethodImplOptions.AggressiveInlining)]
         public T GetInterpolatedValue()
         {
-            return InterpolateState.CurrentValue;
+            var currentValue = InterpolateState.CurrentValue;
+            if (AutoConvertTransformSpace && InterpolateState.TargetParent != Parent)
+            {
+                // Just convert on the fly until the next state is reached where it will do a full
+                // conversion when popped from the queue.
+                if (InterpolateState.TargetParent != null)
+                {
+                    currentValue = OnConvertTransformSpace(InterpolateState.TargetParent, currentValue, false);
+                }
+
+                if (Parent != null)
+                {
+                    currentValue = OnConvertTransformSpace(Parent, currentValue, true);
+                }
+            }
+            return currentValue;
         }
 
         /// <summary>