Constraining Settings for Folders use a Template

So we need to constrain some settings for a "folder" and a "company folder" to inherit settings (Specifically the UI settings for "tabs" is set as custom by default.) I'm trying to limit how a folder could be added by someone to make sure they use the a template of the desired folder / company folder rather than just using a blank one.

I dont see a way by the datasource to constrain these settings, so my assumption would be to remove the folder / company folder from the "Type availability" area and then anyone would just add the folder from the templates. The behavior is very strange and I cant seem to understand it though.

If they try to add via by selecting the company folder template it gets added with the correct settings but shows up as a "folder" and not a "company folder". If they add the folder template I created it gets added as a folder properly with all settings (so totally normal). If I remove the session type availability to hide adding a non-template Company Folder, the template for the Company Folder works as intended. This makes me believe that restricting the type availability blocks the ability to create that type regardless if its a template or not. BUT! Why does the folder get added at all then if that availability is restricted as well?

I know this is super confusing and probably makes no sense, it may be something I have to do a remote session to explain fully.