I don't think someone inputting a phrase and getting an entire artwork which was the product of many hours of labor which was not their own, not even including

I don't think someone inputting a phrase and getting an entire artwork which was the product of many hours of labor which was not their own, not even including the labor of the artists whose work the program was trained on, means that their input was involved much at all. You could say that by the same logic my comment, being a string inputted on a computer built by labor not my own, posted to a website built by others, means that it is not my comment being written but simply text being posted to this website using the technology I am employing. But that wouldn't cohere, simply because I could write this anywhere else, and in fact I could write it with a pencil or even carve it into a wall using a stone I found; the tool, in that case, is separate from the work itself and its reproducibility. The AI art which was generated for the book could NOT have been reproduced anywhere else with other tools in the even remotely the same way, it is only on account of being inputted into that specific machine which it was generated thusly, therefore it is not an actual work of art by this person who inputted the phrase, whose unique creativity could be applied using other tools to produce similar art, but something generated almost wholly by the machine on account of an external input, and something unique to that machine specifically.