I do the math (in my head), I aim as it dictates, BUT, knowing the course has foilables, or I feel differently about a particular shot, I will defer to my "feelings". By all means this does not make me a great player, or even a good one, but it does allow me to "enter" the game play in such a way I that I do derive more satisfaction from the play.
I do not think that the pure Math players gain anything more than those of us who only use the math as a guide and play the shot as they feel it should be. There are enuff subtle differences involved in each and every stroke that it is impossiable to replicate it over and over, thereby allowing the player to use his inate ability (or No ability) to produce a more satisfactory result (if done well) for the player.
It isn't Rocket Science.. It isn't a test, its GOLF!, and it is supposed to be FUN ! My Nickle.