Mike,
Of course you would.....I would need a sense of your tone of voice on that last line to process what you are trying to tell me, though.
In any event, not a scientist, but when I hear words like precise, process, etc., they all suggest some pretty hard math. And, perhaps oddly enough, with much less precision than Phil, I sort of do that +10, -3, etc. when I select my clubs. (however, always favoring the longer club, because I know my chances of pure contact are slim)
The other math term I didn't hear from Phil was "angles." I gather that once you are sure of your distance to within a few yards, why not aim at the pin?
For that matter, I agree with you that it is probably somewhere in between pure math and some intuition. I don't think they can measure exact wind speed, for instance. And, perception. When I read Pelz short game bible, which isn't as precise as Phil, I thought to myself, I would have titled it "There is no such thing as feel."
BTW, I spent one morning at the 1995 Ryder Cup following Seve, who was benched in those sessions, through a practice round trying to recover his swing. It would be interesting if he had ever documented some of his thoughts on how he approached the short game. My guess is he thought about like Phil, but did rely on more intuition as well. Not sure if there are two separate approaches, or if a sign of the times. The data driven golf game has taken quantum leaps since JN measured golf courses precisely. For that matter, it might be interesting to hear Jack opine on how deeply he delved into that info his caddies gathered?
Or, hear from a pro who relies on his caddy to think it out. I would guess those types prefer to be a machine with no thought, trust the number and make the swing types, but who knows?