Interesting... Could the owner or programmer of the AI claim authorship by extension? For example, my brother-in-law designs and builds in wood. Furniture, chess pieces... if it enters his head, he does it. He enters designs and specifications into a computer-run lathe, laser whatever. He selects the wood he had collected and cured, and bang - out comes either a complete object or a beautiful part that he assembles into a whole. He does not hand-carve anything.
I don't use AI, so really have no dog in this fight, but I do use many editors/beta readers/proof readers for my stories. Each is a blessing that adds new insights that help me hone the whole. I can't believe that an AI would do as well or get my story to the same or better place. That said - I'm curious to what extent the "story writing AI" is supplied instructions and raw material. Is it like my brother-in-law's woodworking, or a few dollops?
Some day I may have an AI look at one of my stories just for the helluvit - but I'd never consider publishing it.