Hot take: trying to restrict what front end people use to access your service is almost always an anti-competitive, anti-consumer freedom move which should be legally prohibited for those reasons. (Not just for AI, I'm talking about any and all cloud services.)

Regarding consumer freedom, I believe software running on user machines should serve the interests of the user, not the company who wrote the software or anyone else for that matter. Trying to force users to run a particular client written by your company violates this principle.

Regarding competition, forcing users to run a particular client is a form of anti competitive bundling, a naked attempt to prevent alternative clients from being able to enter the market unless they are able to build a competing backed as well. Such artificial "moats" are great for companies but harmful to consumers.