I recently attended a "Bullseye 101" course for that discipline. There was a detailed discussion from some top military rifle shooters regarding what THEY meant by natural point of aim, and it was very complex, including shooting between the opening and closing of heart valves for absolute stillness. The instructor said it is more accurate to say pistol shooters, albeit Bullseye shooters, need to accept a natural "area of aim". The arc of movement of a pistol held one-handed is much, much greater than a rifle. BUT the goal is to still try to minimize that arc of movement, accept your personal area of aim [which hopefully will be in 9-10 ring area], and bring the trigger back without disturbing the sight alignment/sight picture. I don't think this is exactly what the poster had in mind, but I do think the concept has some traction in USPSA. By the way, I am one of those fat old guys who shoots very accurately, but very slowly. I know, I know- the only way to shoot faster is to . . . . shoot faster.