That's just the copyright office of one country out of a couple hundred, the courts can overrule them, and legislation can change. However, I agree that currently in the US (or on code written in the US) copyright probably doesn't inhere in AI-written code.
The US already extends copyright to the output from compilers, on the flimsy basis that it is a "literary work", and enacted a sui generis 20-year "mask works" right for chip layouts, which are generally output from EDA tools. It's hard to predict what politics will do, except in the very general sense that policies that have no constituency will not be enacted.
The US constitution limits copyright to protection for authors and inventors. I'm skeptical that a simple law could extend protection to machine generated works without being ruled unconstitutional nor does there appear to be any significant government or public support for such a thing.
And while yes, the US is just one country, but it does have a bit of an outsized software development industry. I also haven't hear of any other countries lining up to give machine-generated works copyright protection.