There is a fundamental difference between point shooting and using the gun to aim.
In true point shooting, the gun is below the line of sight, and the eyes are focused on the target. Most IDPA and USPSA competitors learn to use this method when within a few steps of the target to facilitate speed, and shooting while on the move.
Beyond this point shooting distance, taking a flash sight picture using only the front sight is done for speed shooting. The eyes are focused on the front sight.
Finally, at greater distance, a full sight picture is taken using traditional sight alignment. Again, the eyes should focus on the front sight.
Since in close quarter battle the normal reaction is to focus on the target, it is beneficial to learn proper point shooting from a qualified instructor.