Moral rights involve the attribution of works where reasonable and practical. Clearly doing so during inference is not reasonable or practical (you'll have to attribute all of humanity!) but attributing individual sources is possible and is already being done in cases like ChatGPT Search.

So I don't think you actually mean moral rights, since it's not being ignored here.

But the first sentence of your comment still stands regardless of what you meant by moral rights. To that, well... we're still commenting here, are we not? Despite it with almost 100% certainty being used to train AI. We're still here.

And yes, funding is a thing, which I agree needs copyright for the most part unfortunately. But does training AI on, for example, a book really reduce the need to buy the book, if it is not reproduced?

Remember, training is not just about facts, but about learning how humans talk, how languages work, how books work, etc. Learning that won't reduce the book's economical value.

And yes, summaries may reduce the value. But summaries already exist. Wikipedia, Cliff's Notes. I think the main defense is that you can't copyright facts.