Not really, no.

If they are training the AI with copyrighted data that they aren’t paying for, then yes, they are doing the same thing as traditional media piracy. While I think piracy laws have been grossly blown out of proportion by entities such as the RIAA and MPAA, these AI companies shouldn’t get a pass for doing what Joe Schmoe would get fined thousands of dollars for on a smaller scale.

I have a government-issued iPhone. It has Signal on it, and I have access to the appstore. It’s also not allowed to be used for anything but unclassified communication and isn’t permitted inside restricted areas.