You can prompt an image genrater to just spit out the original art it trained on.

This is a common misconception. It's not true, except in the extremely rare case of "overfitting" that all AI trainers work very hard to avoid. It's considered a bug, because why would anyone spend millions of dollars and vast computer resources poorly replicating what can be accomplished with a simple copy/paste operation? That completely misses the point of all this.

If an AI art generator spits out copies of its training data it's a failure of an AI art generator.