Suppose that an artist trains an AI model purely on their own works, and then the AI generates something similar to that artist's work. I would say that the artist must be allowed to assert copyright over that. The artist has copyright over all the training data, and the output of the AI is a derived work of that.
What do you think should happen if an artist views a lot of arts over their lifetime and then themself generates something similar to another artist's work? I would argue that collectively humans have been standing on the backs of other humans all throughout history. An artist today does not simply come out of the womb knowing how to make great art - they learn it by observing other art, learning about art and practicing (not altogether dissimilar to model training) over many, many hours.