This assumes one-shot generation. I don't use it that way, and I don't think many people who find it useful do.

I use it as a colleague I'm drafting with. I'll ask how a sentence lands, tell it to make a paragraph more friendly or more dramatic, have it argue against a point I'm making. The piece comes together over many turns, and the information arriving in each turn is mine — it's not expanding one prompt, it's helping me converge on something.

The information-content framing also proves too much: a copy editor adds no information either. Neither does a translator, or a ghostwriter. What they add is form, and form is most of what makes writing good or bad.