No worries, I read every word...The top gun analogy is cool, but that's a computer system that is programmed to know 100% when the target is locked in. The human mind doesn't operate like that, not even with something as simple as 2+2=4.
Numbers are stored in the mind as explicit memories. Explicit memories are facts and figures and all the acquired knowledge we have, as well as memories of events and experiences we've had. It's stuff that can be recalled by conscious thought.
The actual task of performing math is done by use of implicit memories, the networks that we've developed which allow us to perform skills and talents.
When we see or hear "2+2=", the conscious mind pulls the numbers and the mathematical signs from explicit memory and into the working area of the brain (our short term memory).
This triggers the subconscious to fire up the required math skill, which resides in our implicit memory, and the calculation is done and the subconscious provides 4 as the answer.
The conscious mind then recalls (from explicit memory) it's knowledge of the number 4. And it can then accept or reject 4 as the correct answer. The conscious mind can easily perform the task of 2+2 on its own. After all, that's how the subconscious math skill was developed in the first place, through repetitive conscious effort.
So the conscious mind can doublecheck the solution provided by the subconscious, and whether or not this is done is a matter of how we consciously feel about the answer 4. Just because the subconscious came up with 4 doesn't mean it's correct.
Look at 2 + 3 × 3.... If you have poorly developed math skills, your subconscious might give 15 as the answer. And when your conscious mind pulls 15 into the working area it can accept or reject that answer, based on whether or not it feels like it's correct. Your knowledge of math and numbers and your logical thinking process kicks in. If you've acquired adequate mathematical knowledge, you'll realize 15 is wrong. If you lack adequate mathematical knowledge your conscious thought might be...."fifteen....yes. It's fifteen." You'll feel like you're correct, but the answer is really 11.
Feel is always being used, but it's only as accurate as your skills and knowledge make it. And when your skills and knowledge are excellent, it can seem like feel is no longer involved. But the conscious mind is always doublechecking the subconscious process, though if there's too much going on in the working area of the brain, the conscious might slip up occassionally and let the subconscious perform totally unchecked. Sometimes this works out well, and other times, like with 2 + 3 × 3, it doesn't turn out well.
Damn....this was long. Sorry.

The one thing that kept popping into my mind as I read the portions of your post was "That's HAMB". Explicit memories of countless shots already performed.
I cannot argue, nor would I bother, against our (my) use of the subconcious was playing pool. We could simply drill down to simple motor skills and prove it's use. That's not the point... The point is "my" state of mind when I'm playing at "my" best. I do not play by 'feel' as those who use the word here on AZB do. Yes, I understand and like to think that we are having a slightly more advanced conversation and as such 'feel' is carrying a different definition for those active in this thread. (This is why I prefer to stick to actual definitions)
I will yield to the notion that I'm using my subconcious during play. I'd have to be an idiot to claim that it's not pulling the strings behind the curtain. Where I'll dig my heels in is the concept of playing by "feel". Sorry, there's that literal definition thing again. I'm willing to wager it does not mean to the majority of AZB users the same as it does to the few using it within this thread. Come up with a literal term to describe a fully manual style of concious play, and I may jump on board.