"Raw edit mode" button is not shown as pressed if it's pressed in an additional Inspector window

How to reproduce:
1. Open the user’s attached project
2. Add an additional Inspector window
3. In Hierarchy expand “Canvas” GameObject and select “Image”
4. In Inspector press the “Raw edit mode” button
5. Observe the result

Expected result: Both Inspectors window shows the “Raw edit mode” button pressed
Actual result: Additional Inspector window is not showing the pressed “Raw edit mode” button

Reproducible with: 2020.3.38f1, 2021.3.8f1, 2022.1.13f1, 2022.2.0b5, 2023.1.0a6

Reproduced on: macOS 12.4 (Intel)

Notes:

• Reproducible if having multiple Inspector windows
• Not reproducible with the “Blueprint mode” button
• If pressing the “Raw edit mode” button in an additional Inspector window, then the main Inspector window will not show that it’s pressed