My understanding is that Microsoft research has already published a paper where they used synthetic chat interactions of the same form that chatGPT uses to train a new model. GPT4 could be used to select the best interactions from which to create a training set. I’d be very, very surprised if OpenAI hasn’t already been doing this internally.
Edit RE below comment: The company was literally named that as it was started to be the "open" AI company, given the dangers of centralization of such tech.
From Wikipedia --
The organization stated it would "freely collaborate" with other institutions and researchers by making its patents and research open to the public.[
OpenAI publishes a huge amount of research and makes huge amounts of data available for research. They do collaborate with other institutions and researchers.
https://arxiv.org/pdf/2306.02707.pdf