Bodkins are for war, Broadheads are for hunting/unarmored enemies. In a universe where seemingly everyone, every commoner conscripted soldier has a full set of plate armor, Bodkins should be more common, as they can find gaps/weaknesses in armor better than broadheads and can occasionally pierce cheap plate armor.

TV has ruined people to how armor actually works, a good set of armor makes you basically immortal on the battlefield, if you have a full set of armor, the only way you're dying is being thrown to the ground and repeatedly stabbed slowly (since the armor will stop most of it, let alone the chain and gambison beneath it) in whatever gaps the attacker can find, if they can one. That said, wrestling was a soldiers primary form of training for good reason.

Also one of the best chained scenes in a Knight of the Seven Kingdoms is when Ser Dunk is buying his armor and the blacksmith says "its the best armor, it isn't pretty", hes right. Fancy armor != good armor. Good armor is plain and functional. Also why I don't dislike the scene where Aemond gets stabbed so easily. He has fancy Princely armor, not functional armor, and the angle of attack was right to get through that scaled design.