SSAO texture persists on the screen in Player when it is disabled

How to reproduce:
1. Open the “SSAOBugProject“ project
2. Open the “SampleScene”
3. Build And Run
4. Observe the Player

Expected result: The SSAO texture doesn't persist on the screen
Actual result: The SSAO texture persists on the screen

Reproduced with: 2022.3.13f1, 2023.1.20f1, 2023.2.0f1, 2023.3.0a14
Could not test with: 2021.3.32f1 (Toggling SSAO does nothing)

Reproduced on: Windows 10 (by reporter), Windows 11, macOS 12.6.1 (M1)
Not reproducible on: No other environment tested

Notes:
1. Not reproducible in Play Mode
2. Could not reproduce in HD RP