But it isn't all communication. Even during an RPG, plenty of communication isn't storytelling... such as discussing rule mechanics.
I'm really sorry that you have encountered these story Nazis... that seem to insist that storytelling should be the motivation and purpose of playing an RPG. I think they are idiots and wrong.AND it comes across as a "gotcha", a cheap rhetorical trick, whereby those who are decidedly NOT engaged in storytelling are told "well you can't play without communicating, so you're doing story no matter what".
There is no hidden agenda behind my saying that "technically you are telling a story when you play an RPG, even if that isn't why you are playing"... I'm just making a logical statement based on the meaning of a word. The only reason I argue this is because you are saying that my logic is wrong... I don't care about stories or about the phrase "collaborative storytelling", I'm just defending my logic.