When a horse is relaxed at the poll, his head will fall where it belongs. You don't pull it there.
Also, I doubt bits that do that. Correct training lifts up shoulders, not pain in their mouths/polls/noses.
Edited to ad: 'Give to the bit' is a very big western term that requires a horse to back off of the bit due to pressure. It's almost impossible to teach true contact to a horse that, when it feels pressure, tucks its nose.
Hence all of the horses behind the vertical in western pleasure and breed HUS!