> It is really annoying to write something and have someone say (...)

It's worse than that. What they are saying is the equivalent to saying that knowing how to do something properly, and having the attention to detail to do so, makes it obvious it was written by AI. It sounds like a prelude to human incompetence, to ensuring that AI products are better than human ones.

About the only semi-convincing argument that I've heard is that AI over uses these tells. But let's face reality here: a lot of people griping about AI generated or AI assisted writing are not looking at over use. Plus a lot of people tend to over use the said tells while they learn how to use them properly.