Missing Style Sheet reference when renaming USS file referenced in a TSS file

Reproduction steps:
1. Open the attached “UIToolkitIssue.zip” project
2. In the Project window, navigate to the Editor folder
3. Select the “UnityDefaultRuntimeTheme.tss” TSS asset
4. In the Inspector, observe the referenced Style Sheet
5. Rename the referenced Style Sheet from the Project window
6. Observe the Console and the reference in the Inspector

Expected result: No warning and the Style Sheet reference remains
Actual result: “Invalid asset path:” warning, and the Style Sheet reference is missing

Reproducible with: 2023.1.0b1, 6000.0.63f1, 6000.2.14f1, 6000.3.0f1, 6000.4.0a5, 6000.5.0a2

Reproducible on: Windows 11
Not reproducible on: no other environments tested