"Auto-hide gizmos" preference is not saved when reopening the project

Reproduction steps:
1. Open any Unity project
2. Enable “Auto-hide gizmos” (Preferences > Scene View)
3. Reopen the project
4. Observe the “Auto-hide gizmos” preference

Expected result: “Auto-hide gizmos” is enabled
Actual result: “Auto-hide gizmos” is disabled

Reproduced with: 2021.3.5f1, 2022.1.8f1, 2022.2.0a18, 2023.1.0a1
Could not test with: 2020.3.36f1 (no “Auto-hide gizmos” preference)

Reproduced on: Windows 11