I know this is about gaming, but just humor my contribution.
Just to expand on this...
In a deadly force encounter where you do not have time to consider anything other your target, you stair at the spot you want to shoot.
Often times you hear about people shooting the gun or the hands of the bad guy, this is because people focus, and I mean pinpoint focus, on the hands of the bad guy. They sometimes don't even get the chance to see their sights but they do present the firearm and discharge it at the target of their focus.
When you present your firearm and try to pick up your front sight when doing so against a person you may not be able to do so on the first or second shot, especially if you are moving.
The only time you want to focus on your front sight is when you have time and opportunity to do so, sometimes that becomes necessary (precision headshots at close distance - 7 yards and in) - like Bill Rapier says during his pistol classes "focus on your front sight, squeeze squeeze squeeze..."