What if, human intelligence, by and large is the product of developing our own LLM. By this I mean, the logical circuits which are necessary for grammar and language structure are the basis for our generalizable symbol processing. We developed these neural network analogs to logical operations almost purely out of the benefit of being able to combine communication in a predictable way. We developed enough to achieve a kind of Turing equivalency. Essentially, we are a specific computer, that stumbled into an abstract machine.
Were that the case. It may be entirely possible to achieve general machine intelligence almost purely through an LLM. In which case, the LLM itself could potentially generate training data at a comparable quality to humans.