True creativity is when you break through "known facts and evidence" with innovation. Newton - gravity. Einstein - relativity. ...
But what is innovation? Neither Newton nor Einstein could have 'innovated' without there being an existing meme pool of ideas that was ready to be innovated in. There is no evidence that innovation is anything other than memetic copying with a bit of random mutation. Likewise, all it takes for an LLM to be creative is a little bit of random error from the 'known facts'.