But this is precisely the context of the original webpage: someone writing code at your company and your company not having copyright of that code. Almost everyone that works for any tech company signs an NDA, and code in private repos is just that: private. So even if said intellectual property (AI-written code) is not copyrightable, it's still a trade secret.
This is doubly stupid because I've worked at plenty of companies where we would routinely generate code (using macros or transpilers, or what-have-you), and that code is also not technically copyrightable.