Handles.Disc rotation stops working when used with SceneView.duringSceneGui instead of OnSceneGUI()

How to reproduce:

1. Open the attached "IN-151901" project
2. Open the "SampleScene" scene
3. In the Hierarchy, select the "Cube" GameObject
4. In the Scene window, rotate the "Cube" with the white Disc Handle that appears around the "Cube"
5. Deselect the "Cube" in the Hierarchy
6. Go to Window → DiscHandleWindow and click "Start Disc Handle"
7. In the Scene window, rotate the "Cube" again with the white Disc Handle
8. Observe the "Cube's" rotation
9. In the "Disc Handle Window," click "Stop Disc Handle"
10. In the Hierarchy, select the "Cube" GameObject and rotate the "Cube" with the white Disc Handle again
11. Observe the "Cube's" rotation

Actual result: The Disc Handle created by DiscHandleWindow does not function, and after disabling it, the Disc Handle previously created by the DiscHandleEditor stops functioning too
Expected result: The Disc Handle created by DiscHandleWindow should function the same as the version in DiscHandleEditor, and after disabling the DiscHandleWindow version, the Disc Handle created by DiscHandleEditor should work as previously

Reproducible with: 6000.0.0f1, 6000.0.82f1, 6000.3.23f1, 6000.5.10f1, 6000.6.0b10, 6000.7.0a5

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

Note: Reloading the scene makes the Disc Handle created by DiscHandleEditor work again