An AI (in its current form) isn’t a person drawing inspiration from the world around it, it’s a program made by people with inputs chosen by those people. If those people didn’t ask permission to use other people’s licensed work for their product, then they are plagiarising that work, and they should be subject to the same penalties that, for example, a game company using stolen art in their game should face. An AI doesn’t become inspired, it copies existing things to predict what it thinks its user wants to see. If we produce a real thinking AI at some point in the future, one with self determination and whatnot, the story will be different, but for now it isn’t.
You aren’t missing much.