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.