That just sounds like "stubbornly" to me. People are often stubbornly wrong (or right), but in your examples I don't see anything that would make me call it rel

That just sounds like "stubbornly" to me. People are often stubbornly wrong (or right), but in your examples I don't see anything that would make me call it religious in the sense of the comment you're replying to. Which, to be clear, is a set of given notions that they use to make sense of the world.