Just to play devils advocate: are we sure humans have demonstrated the ability to go beyond their training data? Like.. are we sure-sure about that?
The idea is simply that the basic idea behind LLMs, that you're distilling the entropy out of the entire available world of text, is antithetical to creativity.
Further developing on the theme of self-play, humans have the ability to sense what we want (intellectually) and reach for it communally over thousands of years. It's an innate quality, and if AI starts participating (contrast to giving people psychosis) we will all be able to tell.
Well.. that's not true is it. There are human cultures that haven't reached for anything for thousands of years even though they clearly saw what western culture was doing and that they were being left behind badly.