I have to say again that I'm not an instructor but I can give my own experience. I don't buy into the idea that there is a "vision center" that makes everything perfect. If I were to do it over again as a beginner I would choose a head/eye position that came naturally and then I would work on where the cue needs to be for a straight cue delivery. That cue alignment might not (probably won't) feel right at first, but soon enough you will learn what a straight stroke should look and feel like from that vantage point. In Mark Wilson's book he kind of says as much when he says you can put your head wherever you want so you might as well just center the cue under the chin between both eyes. I don't do it that way but the idea is similar.i don't have pool balls in my home, i only have a crystal ball which is almost the same size and shape as a pool ball, so maybe i can use it with the laser to locate center ball but i'm not sure if it's ideal.i will have to take the laser at a pool hall in order to do the other alignment tests that you are doing.
one other question, when you were doing the laser alignment tests, did you find that with the wrong head positions the cue was ending up slightly off the line and you had to make small bridge-back hand adjustments to get the cue online? and with the correct head position did you find that the cue was automatically ending up online without too many micro-adjustments?this is the only explanation i can think of about why you made the conclusion that a certain head position is better than the others and i'm coming to the same conclusion myself.i'm sorry if i have asked you the same question in the past, i just want to be sure.
I have a pretty consistent head position from a long time of play so I can't really comment on your situation other than to say if you get down on the shot in different places each time that sounds like trouble. Also, when the laser is on the ball you can easily place the tip in the right spot (on the laser line) so it's hard to say where you would have placed it if the laser line weren't there. You'd know if there was a way to turn the laser line on after you get into position.