FWIW, humans certainly can infringe other peoples' copyrights and can do so even if they aren't actively intending to do so. There is some boundary across which you are no longer just learning something and you are now copying, and it isn't clear at all that these generative AI techniques are actively considering the latter the way a human is required to.
But, sure: if you are against the idea of copyright entirely then it is hard to consider the idea inconsistent, though I would think a world without copyright would be a particularly hard one for an artist to make money at all...