> he just read out something like "You're right to push back on this. If you'd like, I can reword this..." and didn't even flinch

Can you please provide sources for this? My understanding is that he used the expression "I appreciate the pushback" in a context in which it made sense (responding to criticism), and people flagged that it sounded LLM-like.

There’s some poetry seeing people complaining about how LLM provide unreliable information in a confident tone, who then go on to share incorrect information in a confident tone.