It's not quite the same though, when I search Google I'm generally directed to the source (though the summary box stuff might cross the line a bit).

With AI, copyrighted material is often not obvious to the end user, so I don't think it's fair to go after them.

I think it's non-trivial to make the AI company pay per use though, they'd need a way to calculate what percent of the response is from which source. Let them pay at training time with consent from the copyright holder, or just omit it.