[Update: this bug was initially found in HDRP graphics compositor, but it looks that it is related to light probes]

I have tested this on latest Trunk (2021.2.0a2)
When the "Enter Play Mode Options" are enabled in Editor settings, the LightProbeContext is missing all light probes and the SH coefficients (unity_SHAr, unity_SHAg, etc) that are passed to the shaders are not correct (or consistent with the coefficients when this option is disabled). See the comments for some additional notes.

How to reproduce:
1. Create a new HDRP project
2. Enable the Enter Play Mode Options (Edit -> Project Settings -> Editor)
3. Enter Play Mode
4. Walk to the last room in the Game view (See attached "1298508_repro.mp4")

Expected result: The chair and plant GameObjects are not bright
Actual result: The chair and plant GameObjects are very bright

Reproducible with: 10.2.2 (2020.2.2f1), 11.0.0 (2021.1.0b2, 2021.2.0a1)
Could not test with: 7.5.2 (2019.4.18f1), 8.3.1 (2020.1.17f1) - Graphics Compositor not supported

Note:
- The issue is not reproducible if "Reload Scene" property is checked in the Enter Play Mode Settings