I don't think pride has anything to do with it, no one will think less of you if you tap.
At the time I think it's more instinctive to tap than just let it happen, but sometimes you're instinct can say 'there's a way out of this'. Sometimes there is, sometimes there isn't...
You'd be a fool to think that not tapping will reserve a tough man image, because you're not tough to anyone with only one arm.
IMO the ref shouldn't be allowed to stop it though when it looks un-escapable, cus anything can happen. That would cause so many complictions and controversies.