Serialized localization file changes when sorting the view in the Localization Tables tool

How to reproduce:

1. Open the attached "IN-147793" project
2. Go to Window->Asset Management->Localization Tables
3. Take note of the current order of the Localization Table and save the Project
4. In your respective file browsing tool go to the project's Assets folder and open “New Table Shared Data.asset”
5. Confirm that the m_key order is the same as in the localization table
6. Go back to Localization Table and add some additional text to the first element
7. Sort the table using the Key button and save the Project
8. Open “New Table Shared Data asset” and view the difference between the asset file and Localization table

Actual result: The serialized localization file changes when sorting items
Expected result: The serialized localization file is unchanged when sorting the table

Reproducible with: 1.0.0 (2021.1.29f1), 1.5.12 (6000.6.0b4)

Reproducible on: macOS 26.5 (M1), Windows 11 (By reporter)
Not reproducible on: No other environments tested