[BerntR]

All I know is when I get curious about the result of the shot, it often leads to a mishit of sorts. Some wait looking up on short putts til they hear the ball go into the hole. There must be a reason for this?

And some lift and turn their head before they have struck the ball as well (Annika Sörenstam and David Duval to mention a couple of former world ranking leaders). I don't think there's one right way for all here, but where your nose points and how your head moves (if it moves) kan make a pretty big influence on the stroke.