You know why Schwarzenegger is so good in this movie? It´s because at that time he was an athlete and not an actor. He´s tough but his movement is kinda rigid, he´s a warrior but he doesn´t move like a choreographed martial arts fighter...he doesn´t need to.
But what else would we expect from a Barbarian? He shouldn´t serenade a woman, he should be annoyed by their "lamentation" because he´s a Barbarian and that´s what they do.
The remake is a 21st century action spectacle, but never was a Barbarian portrayed more convincingly than by Schwarzenegger (even if this sounds weird).