A player with VR will not perform better than one without, more likely he will perform much worse(am I wrong?)You clearly haven't played Team Fortress 2 with the Oculus Rift
They have a mode where you move/steer with a controller, but aim with the rift itself (i.e. crosshairs in the centre of the rift). It's pretty much like enabling god mode - not only do you have way more peripheral vision than most players, but you can do crazy things like run away from an opponent while shooting over your shoulder, and you also just plain aim a lot quicker/better than someone playing with a keyboard and mouse.
That is, for the 20 minutes until you become horribly nauseous, because this game clearly wasn't designed for VR...
I tried that (love me some TF2).
It didn't make me sick, but it really didn't help me play better either. If anything I was worse. Maybe I just needed to give it more time.