In 'ancient' times (late '60s) I taught the Army's 'new' snap shooting technique to the 'cruits. We were told to teach them to sight along the side of the barrel (M16) or slide (1911) to quickly engage a close target. Truth is that some of the newbi shooters actually did better at ranges up to 50 yards with that approach than when they tried traditional aimed fire.
“Remember, no matter where you go, there you are.” - Buckaroo Banzai 1984
"When you find a find a big kettle of crazy, it's best not to stir it." - Dilbert 2009