It is more a visual processing issue IMO.
This would include visual reference, as in playing a musical instrument.
How our brains process vision is a complicated issue, that I think not many realize.
Let alone what the conscious part of our brains can process at the same time.
What Jerry is basically saying is, when closing your eyes, the target goes away along with the sights. Once you concentrate on the trigger pull, and that alone, the flinch goes away. From that point on, when the sights are aligned on the target, the processing of the conscious mind then goes to the trigger alone, instead of bouncing back and forth in very short amount of time. Because I don't believe our conscious mind can process two things at ounce, including our senses, and thought, it eliminates the apprehension and confusion. This of course, is at a stationary target. So processing the trigger pull would be easier.
Same thing with the yips, or target panic with the bow. Our conscious mind is switching focus back and forth so fast, because of doubt, including thought, alignment, timing, etc., that the trigger mechanism in our mind fails to send the signal to our motor-skills side to function. Or, at the perfect time.
Thus is why, I think a flinch in shotgun shooting, is an interruption of direct visual processing on the moving target. Simply because the trigger mechanism to the motor-skills part of our brain is short-circuited for even an instant, which is enough to cause the haywire reaction commonly know as a "Flinch". While our vision is being processed consciously, the sub-conscious processing is telling the brain, where our hands are. Being that they are aligned straight down the barrel, when the front hand crosses the target, and the visual processing is sending full uninterrupted signal, everything says, it's go time! That is called, "In the zone". Doing that 25 times in a row proves difficult. When we do, it seems effortless doesn't it.