If you drop the premise of writing, drop the premise that you need something well written. Just give me the same information you would have given the LLM.
But a non well-written prompt is not a good prompt. What are you really going to do with a shit prompt? It's meta: we need better writers all the way down.
I know what I'm trying to say, so I can sanity check the output. You can't, unless you listen to the monologue.
That's why I disagree with people that say "just give me whatever you gave the LLM." That's only useful if you, the writer of the prompt, have no intention of looking at the LLM output before sending it.
Do you really want to read the whole conversation between the author and computer? I don't use AI to write prose but if I did I'd treat it like a critical editor so reading all that would not save you time.