Current Inspector object is destroyed and a new one is created when AssetDatabase.SaveAssets is called in a Custom Inspector

Reproduction steps:
1. Open the “ReproProject“ project
2. Select the “Assets/BugReport/NestedClassExample“ ScriptableObject
3. Open the “NestedClass“ Foldout in the Inspector window
4. Observe the Inspector window
5. Select the “Assets/BugReport/AnnoyingPopupExample“ ScriptableObject
6. Modify the “Magic String“ Field in the Inspector window
7. Observe the Unity Editor for any popup windows

Expected result: The “NestedClass“ Foldout opens and there are no popup windows when modifying the “Magic String” field
Actual result: The “NestedClass“ Foldout does not open and there is a popup window every time the “Magic String” field is modified

Reproducible with: 2022.3.11f1, 2022.3.21f1, 2023.2.14f1, 6000.0.0b11
Not reproducible with: 2021.3.36f1, 2022.3.10f1

Reproducible on: Windows 11 Pro (22H2)
Not reproducible on: No other environment tested