I've done it in some jupyter notebooks and the results are really neat, especially since LLMs can be made with a tiny bit of extra code to generate a context "timer" that they wait before they prompt themselves to respond, creating a proper conversational agent system (i.e. not the walkie talkie systems of today)
I wrote a paper that mentioned doing things like this for having LLMs act as AI art directors: https://arxiv.org/abs/2311.03716
OT, but this also reminds me how much I despise bullshitters. Sometimes right, something wrong, but always confident. In the end, you can't trust what they say.
The issue is LLMs are not marketed in this way. They're marketed as all knowing oracles to people that have been conditioned to just accept the first result Google gives them.