After reloading domain Animation selection is cleared

How to reproduce:

1. Create new project
2. Open Animation window
3. Select any object in Hierarchy
4. In Animation window create controller
5. In Project view create new script to force domain reload
6. Observe Animation window

Expected result: The selected object is still shown in Animation window

Actual result: "No animatable object selected"

Tested with: 2021.3, 2022.2, 2023.1, 2023.2 MacOS 12.3.1