Either one is subjective, and whether a schism results in a separate religion or not seems a matter of degree. Either one would accomplish establishing a premise to support having the tag. If it's just about having a tag then either one should be acceptable and the one that's more likely to produce consensus preferable.
If just getting a tag to use is a "trojan horse", and the actual objective is to get it labeled a religion then only "religion" will do.
And apparently, only "religion" will do.
A restatement from you is answered by a restatement from me:
I’m starting to notice a tactic, perhaps a logical tactic, in which freepers nitpick and try to wear down the other freeper with whom they disagree. I think it is a form of antagonism, a pretty crafty one at that. Basically, if someone who disagrees with me really does want to common terms, I’m all for it. But when the discussion drones on and on, with all kinds of other issues getting dragged in, it’s a sign for me that the person doesn’t really want to reach compromise.