Maybe this is true test of intelligence instead of "emulating intelligence"? I can learn from Pythagorus' work, extend it, combine it, apply it, and produce works that are more valuable than the original. Perhaps that gets recognized as important, and others then take that, learn, and repeat the process adding their own experience, increasing the general intelligence.
Using generated training data is a good way to ensure that the training includes things that are too obvious to appear in normal writing. (Such as "there are zero giraffes in this photo.") This paper describes the limits of using transformer-generated data to train other transformers.