Or the classic example of,
"Hey man calm down!"
"I am calm!"
One of the best ways to upset someone is to claim they are upset.
There are two sides to that classic example. The one you mentioned, and the one where the other person isn't calm but also lacks self awareness and just becomes more upset.
There's a broader lesson about how if your stated solution is simple and obvious then in most cases it probably isn't actually a solution.