I don't mind people asking anyone to back up their argument. What I mind is being dismissed as irrelevant if I don't use the right stats, or don't use stats at all. There are many ways to back up an argument, to defend one's opinion, without advanced stats, or stats at all. We should be able to do so without fear of ridicule or insults.
In that particular instance you mentioned, when I was asked to back up my opinion, I stated it was nothing more than an opinion, and everyone moved on. That was a fine discussion, imo.