This is the natural position for nearly all golf swings except putting. The only reason you see my right hand in that position in the putting photo is that I’m using a saw grip. If I had started with a conventional grip and allowed my right hand to rotate into position as in the other two pictures my putterface would be dead shut and I probably would have missed the putt.
Bunkers left and right of the green are there to punish inaccuracy; heaven help the player who finds the sand on the right — he’ll face a huge change in elevation to a green running straight downhill from his line of flight. As I said Shinnecock is beauty and beast.
Sometimes poorly-struck putts go in and well-struck putts miss. Sometimes badly-read greens compensate for poorly struck putts. Results can confuse golfers when they don’t understand the true fundamentals of putting. Having the patience to learn to be a good putter is an incredible virtue for a golfer.