Competition shooters already figured this out decades ago, but don’t tell any one. Specifically, Brian Enos spelled it out nicely in Practical Shooting : Beyond Fundamentals in 1990 about things already learned and understood by competition shooters.
As this video demonstrates, most “point shooting” really is rudimentary aiming. Regardless, bullets only go where the barrel points them and the gun doesn’t care what you are or aren’t looking at.
This guy has a beard, so he must be legit.
Sighted fire: No speed lost, most accuracy.
No sights fire (same technique, no sights on gun): No speed gain, slight loss of accuracy.
True point shooting/Visually obscured fire (can see target but completely obscure gun out of peripheral vision): No speed gain, severe loss of accuracy.
Firearm User Network 
John Veit
Jan 21, 2015 @ 16:08:00
Very interesting video.
Spurred me into making a test of shooting at home.
PIC 1:
36″ wide x 27″ piece of cardboard supported by boxes and at just below chin level height to serve as a blinder, so you could not see anything below it when your neck is placed up against it.
PIC 2:
BB trap box at range of 12 to 15 feet.
PIC 3:
Pic of target with 4.5 inch center ring. Shot at the target using AIMED Point Shooting where the index finger is placed along the side of the gun, pointed at the target, and trigger is pulled with the middle finger. Gun may/can be in line of sight, but sights are not used. The blinder was not used.
PIC 4:
Target was shot at using the blinder. Hopefully pointed the gun at the target and pulled the trigger. Could not see anything below chin level.
PIC 5:
Target was shot at using the blinder. The index finger was along the side of the gun and pointed at the target for each shot, and the middle finger was used to pull the trigger. Could not see anything below chin level.
INFO
All shots were made strong hand only and as fast as the gun, which was in hand, could be pointed at the target using the index finger, or hopefully just pointed at, and the trigger pulled.
Had not used a blinder before, and had not done any shooting for 3 or 4 months.
CONCLUSIONS
String 1: Accuracy with the use of the index finger to aim the gun, and without sight restriction, was OK to very good.
String 2: When the blinder was used and nothing below chin level could be seen, accuracy was very bad relative to the first string.
String 3: When the blinder was used, and the index finger was used to aim the gun, accuracy was not as good relative to the first string, but accuracy was clearly much better than that of the second string. Shots were mainly 4 inches higher than the first string, and I consider all close to centerline shots to be effective hits.
Aimed Point Shooting or P&S is not dependant on seeing the gun.
Also, don’t know of any recognized Point Shooter advocate or instructor like Applegate, or Fairbairn, Robin Brown, or Lou Chido, or even Jim Cirillo who did not or do not consider seeing the gun as an integral part of their Point Shooting method ( FAS, Quick Kill, Target Focus, Nose Point….).
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John M. Buol Jr.
Jan 21, 2015 @ 17:34:49
The barrel will happily launch bullets wherever it points and doesn’t care what its human operator is/isn’t focusing on but some sort of visual confirmation tends to help secure better hits.
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