How to reproduce:
1. Open the user's attached "AddressablesAnimationRiggingBug.zip" project
2. Open the SampleScene Scene
3. Open the Addressables Groups window (Window -> Asset Management -> Addressables -> Groups)
4. Set the "Play Mode Script" to use "Asset Database (fastest)"
5. Enter the Play Mode and observe the Game view
6. Set the "Play Mode Script" to use "Use Existing Build..."
7. Build the Assets (Addressables Groups window -> Build -> New Build -> Default Build Script)
8. Enter the Play Mode
9. Observe the Game view

Expected results: Both Play Mode Scripts options have the same behavior
Actual results: Both Play Mode Scripts have different behavior

Reproducible with: 10.10.0, 1.17.17 (2020.3.4f1, 2021.1.5f1, 2021.2.0a14)
Could not test with: 10.10.0, 1.17.17 (2019.4.23f1, 2018.4.33f1) (Cannot downgrade the project and Animation Rigging package)

Note:
-Using the "Play Mode Script" option "Simulate groups" gives another different behavior (cubes move but are out of sync)
-Building the project gives the same behavior as using "Use Existing Build"