I actually liked the story, despite some valid negative comments here.
"AC on" crowd usually have no consideration for anyone and rarely understands that while air flow matters, the temperature doesn't have to be freezing.
"Don't do it" note have as much validity as "Nah, I will" reaction. The fact that conversation happened is a win, and it's fine, that the problem wasn't solved in the best possible way, it isn't lingering anymore, so that's a better outcome that nothing.