> I can't claim copyright on a work by an AI, because I'm not the author.
You can lie about authorship, and it will (probably) be undetectable/irrefutable.
Also, currently AI's are not given personhood under law, hence they are not the author of the work they create. Given that, it isn't much of a stretch to say that if you wrote the software that runs the AI, you are the author. Which is a problem for users of tools like DALL-E.