I'm glad you picked that example because it shows how the practical impact is not necessarily proportionate to the technical difference. Protestants and catholics have tortured and killed each other over group membership. The fact that their theology may have been, all things considered, very close does not matter when you're in real danger.

Politics isn't a sport or hobby, it is actually life or death for some people. The risk is not distributed equally, and those most in danger are not obligated to pretend the stakes are equally low for them.