When people use a word to describe another group of people, that tells you something about the people and the word.
It may tell you nothing at all about the people being referred to.
It also tells you something about the people who don't want to be called by the word.
this is true. It seems like the atheists here made it pretty clear they did not want to be confused with people who follow pagan religions. There, you have your reason. They thought that it would be misleading. Nothing sinister. Nothing negative proven about atheists, or pagans for that matter.
This is not a playground game.
Something similar might not have been. In other words, one could explore with questions and it would not feel like this childish exercise to trap people in something. But here you were trying to trap atheists somehow with what you consider a socratic approach. It was a very indirect way of getting your aggression out.
But again, it's nice to see you using a method developed by a pagan, a pagan who was in fact probably homosexual and clearly accepting of homosexuality in others.
This is very broadminded of you and should be commended.