Hi @malcolm-silver-ice,
Thanks to your suggestion, I manually modified the LinkFields documents each time and started the Preview app, then checked the database. I noticed that the documents in the DB are saved with the computed non-transient fields, even if I left these fields empty or set them incorrectly. This means the client (Overview and Tree Engines) actually has nothing to do with the computations — instead, the data services perform the computations before the documents are saved in the database.
This behavior occurs because, in the application-pu_server.properties file inside previewapp-server-202506.0.0.jar, the computation-enabling configuration is set to *:
mgmtp.a12.dataservices.documents.computation.enabled-for-models=*
To verify that this configuration is responsible, I set it to an empty value, and as expected, no computations were performed on non-transient fields during document import when initializing the preview app by Data-Services. Furthermore, when viewing the documents in the Overview and Tree engines, the non-transient fields appear exactly as defined in the documents — meaning the client does not perform any computations on its own. 
I provided feedback for the GetA12 Docs so that this information can be added to the Preview App documentation, since this behavior is not immediately obvious and differs from the default configuration of Data Services.
Behavior with Transient Fields
Nonetheless, the client’s behavior regarding transient fields is somewhat unusual, as I also understood it from your two posts. I am attaching the following (SelectedItems) overview screenshot example: I have just edited the first entry, meaning I modified the form of LinkedFields, and as a result, the computed value of the transient field is displayed in the Overview. For the other two relations/entries that I did not edit, this is not the case.
I find this confusing and think it is not implemented correctly. Either transient fields should always be computed and displayed in Overview and Tree, or they should remain completely empty or developers should decide that by config. In any case, when dealing with such edge cases, it is essential to fully understand how this behavior works.

Foued