Steps to reproduce:

1. Create a new Unity project
2. Open the "Create new Shader Graph Asset" window (Project window > right click > Create > Shader Graph > From Template...)
3. Select any template and click the "Create" button
4. Select a newly created shader graph item in the "Project" window
5. Go to the "Inspector" window and check "Use As Template"
6. Expand the "Template" section
7. Enter the template Name "RQA Test" and enter the Category name "RQA Category" and save the changes
8. In the same way, create one more Category, which should be named "RQA Test 123" and which should have two other newly created templates: "RQA" and "RQA 123"
9. Open the "Create new Shader Graph Asset "window again
10. Verify that the newly created categories and templates are displayed in the "Create new Shader Graph Asset" window
11. Go to the search field and click "+"
12. From the list, select the "Category" item
13. Select "RQA Test 123" category
14. Verify that the search returns the right category with two templates under it
15. Add "RQA" search string to the existing category selection
16. Verify the results. It should stay the same
17. Remove RQA string and add "123"
18. Observe the results

Actual results: Search results for custom templates are incomplete or inaccurate. User gets "No templates found"

Expected results: Search should return results according to the entered search criteria. For the "RQA Test 123" category +123 string, the user should get one template "RQA 123" under the "RQA Test 123" category as the right result

Reproducible with versions: 6000.5.0a5

Can’t test with versions: 6000.0.64f1, 6000.3.3f1, 6000.4.0b4 as search functionality is not available in these streams.

Tested on (OS):  macOS - Tahoe 26.2