Using tools to fix your writing style or grammar is not exactly cheating.
This implies that writing styles are simply "correct" or "incorrect". I'd prefer to read someone's natural writing style, even if they do not consider themselves a good writer, because it comes from them genuinely. Much better than enduring text that has been fed into an LLM and homogenized.
There’s a world of difference between using AI as an editor vs letting it write a whole essay for you. AI;DR is about the latter.