Reproduction steps:
1. Open the attached project "SPRITENOSAVE"
2. Select “Assets/TX_UI_GamepadControls.png“
3. Open the Sprite Editor window (Window > 2D > Sprite Editor)
4. Select a part of the image and click the “Apply” button
5. Select “SPRITEASSET“
6. Go to the last page of the Sprite Character Table
7. Click on the “Update Sprite Asset” button
8. Observe that the Sprite gets added
9. Save (Ctrl + S)

Expected result: “SPRITEASSET“ is saved and the Inspector window gets refreshed
Actual result: “SPRITEASSET“ is not recognized as changed and is not saved

Reproducible with: 3.0.6 (2021.3.31f1, 2022.3.12f1, 2023.1.19f1), 3.2.0-pre.4 (2021.3.31f1, 2022.3.12f1, 2023.1.19f1, 2023.2.0b16, 2023.3.0a11)

Reproducible on: Windows 10
Not reproducible on: No other environment tested

Note: “SPRITEASSET“ can be saved when any other field is edited