GameObject Prefab Overrides are not retained when Rigidbody Components are added in Prefab mode

How to reproduce:
1. Open the “PrefabOverrideRetainIssue“ project
2. Open the “SampleScene”
3. Open the “Terraformer_TESTER“ Prefab in the Project window
4. In the Hierarchy select the “Left_Foot_IK” GameObject and in the Inspector add the “Rigidbody” Component
5. Save the Prefab and return to the scene
6. In the Hierarchy select the “Terraformer_TESTER“ GameObject
7. In the Inspector observe the Overrides list

Expected result: The Overrides list shows the “Rigidbody” Component of “Left_Foot_IK” GameObject
Actual result: The Overrides list is empty

Reproduced with: 2022.3.13f1, 2023.1.20f1, 2023.2.0f1, 2023.3.0a14
Could not test with: 2021.3.32f1 (Overrides are not shown)

Reproduced on: Windows 11
Not reproducible on: No other environment tested

Note: When adding the “Rigidbody” Component to the “Terraformer_TESTER“ GameObject the expected result is achieved