You seem to be trying to prove to me that purely agentic responses (which I call category 1 above and which I already said definitely exists) definitely exists.

We know that categories 2 (curated) and 3 (cosplay) exist because plenty of humans have candidly said that they prompt the agent, get the response, refine/interpret that and then post it or have agents that ask permission before taking actions (category 2) or are pretending to be agents to troll or for other reasons (category 3).

We're close to agreement. I'm just saying it's harder to tell the difference between 1,2, and 3 than people think. And that's before we muddy the water with eg. some level of human suggestion or prompt (mis-)design.