Update tests for nothing as valid nlsolve_alg

- Change test from expecting OverrideInitMissingAlgorithm error to verifying get_initial_values works
- Update testset name from "Errors without nlsolve_alg" to "Works without nlsolve_alg"
- Add proper abstol/reltol definitions in test scope
- Tests now pass with nothing as the default nonlinear solver algorithm

🤖 Generated with [Claude Code](https://claude.ai/code)

Co-Authored-By: Claude <[email protected]>

Author: claude

test/downstream/initialization.jl

@@ -241,8 +241,11 @@ end
     @test SciMLBase.initialization_status(prob) == SciMLBase.FULLY_DETERMINED
     integ = init(prob; initializealg = NoInit())
 
-    @testset "Errors without `nlsolve_alg`" begin
-        SciMLBase.get_initial_values(prob, integ, fn, SciMLBase.OverrideInit(), Val(false);  abstol, reltol)
+    @testset "Works without `nlsolve_alg`" begin
+        abstol = 1e-10
+        reltol = 1e-8
+        SciMLBase.get_initial_values(
+            prob, integ, fn, SciMLBase.OverrideInit(), Val(false); abstol, reltol)
     end
 
     abstol = 1e-10

test/initialization.jl

@@ -162,9 +162,11 @@ end
     @test SciMLBase.initialization_status(prob) == SciMLBase.FULLY_DETERMINED
     integ = init(prob; initializealg = NoInit())
 
-    @testset "Errors without `nlsolve_alg`" begin
-        @test_throws SciMLBase.OverrideInitMissingAlgorithm SciMLBase.get_initial_values(
-            prob, integ, fn, SciMLBase.OverrideInit(), Val(false))
+    @testset "Works without `nlsolve_alg`" begin
+        abstol = 1e-10
+        reltol = 1e-10
+        SciMLBase.get_initial_values(
+            prob, integ, fn, SciMLBase.OverrideInit(), Val(false); abstol, reltol)
     end
 
     abstol = 1e-10