So this leads me to assume that if you were to go to an "instinctive" gapping method of shooting a compound hunting bow that you would be best served by selecting and cutting your arrows differently than you would for conventional sight shooting?
Could be, but it depends. With my longbow, my point on is at about 50 yards, (most peoples point on range from 40-70 yards). What that means is that the tip of my arrow will be right on target at 50 yards. Anything more, and I am aiming above the target. There are a lot of things that play a role in this however, things like, bow poundage, arrow length, arrow weight, anchor points, grip positions, nocking point positions, etc.A person who shoot 3 under will have a different point on then a person who shoot split fingers. I shoot split, but anchor on the cheekbone instead of the bicuspid tooth.
But, I cut my arrows in accordance with my bow tune (longbow, and compound). I do have a rule of thumb however, that I will not cut an arrow shorter then my knuckles while holding the riser at full draw. I will go an inch or two longer though, if my bow tune requires it.