I think someone "writing like ai" is not really the same thing as the flaws we see from ai. "Writing like ai" might mean we adopt certain conventions in how we communicate or frame ideas, but the ai flaws are more along the lines of weasel words or bullshittery; avoiding incisive ideas in favor of fluffiness, or in favor of pithy-sounding phrases that communicate nothing. That's a problem that humans have had long before AI.
Indeed, I'm currently reading Gravitas: Communicate with Confidence, Influence, and Authority by Caroline Goyder. It's phenomenal and I highly recommend it.