It's mental. The terms and conditions of some AI music generators will make people pay for a "license" to use the output for example for commercial purposes. They themselves of course claim "fair use" and steal all the music out there to train their models. I think some companies now don't claim ownership any more, for images and video snippets. And of course AI output isn't copyright-able in the first place.
The companies will occasionally use their trademarks, intellectual property or copyright against people. Of course those rules don't apply the other way around. It's completely fine their product draws all Disney princesses, comic and anime characters and reproduces half of Harry Potter. But beware someone names something with "Claude" in the name. Of course Google follows the same logic with this.
And then my homepage gets hammered with their stupid AI crawlers, but I have to abide by the terms and conditions of their services...