I think the use of whatever eye is insignificant in getting rounds into the target "quickly". Of course it's depending on what the target is to start off with. I look at it from an offender point of view as thats my background.
Generally speaking, if I have to get my firearm onto a target "quickly", I don't even get an opportunity to look down the sights and aim properly. With the blood pumping and the pressure on, everyone looses accuracy unless they have such well trained muscle memory retension that the draw, sight and fire is second nature.
The drills I have put myself through have shown that under pressure, I don't get time to align the sights - its just point the firearm at the target and neutralize the threat.
Unfortuneatly, in these type of situations, milliseconds count, and I don't want to be left there thinking.... now which eye do I look through?? Am I right or left eye dominant?? I can't really see my sights in these low light conditions!!
For the long shot, absolutely.... take the time as each round must count. Still... one shot brings others (bad guys that is...)
Chris Cullen