"To me" is not a compelling argument when the motions are nearly identical to Link's. If we're going to go the route of "it's unnatural to me", I could argue that performing any action with a controller is unnatural, since all we're really doing is performing an action, whether pressing a button or swinging/aiming a motion-controlled device, that causes an animation to occur on-screen.
You could. And you know what happens? Bam, people say "yes, this is true...for you." In other words, arguing against it is futile, because it's strictly a personal experience.