Thinking more about monkeys, I think that case was made relatively easy because there was a normal living recipient for copyright, but that wasn't eligible for such. I'm fairly certain that dashcam footage, which is 100% automated, as you mention, is copyrighted by default. It's a fairly common source of footage of novel events like a meteorite, rocket impact, or whatever else. And that footage is licensed to media companies.

In any case, any country that decides neural network generated media isn't copyrighted then faces a major, and probably impossible, problem of trying to prove it wasn't made by a human.