If I want to watch a bunch of movies, I have to pay the theater for each movie, or pay netflix, or whatever. The screenplay I write afterwards belongs to me, but the learning process involved me paying for access to others' work. That's what's often missing here. But at the same time, if you train on legally public data, there's no 'theater' to be paid.
(Often, people train on illegally public data though, like the eleuther folks. That's a whole extra can of worms I've ranted about plenty).
Maybe we'll start seeing licenses with a section saying "not for use as training data for commercial models."