At our schools we incorporate rhythm into pre-putt rituals then carry that same rhythm through the stroke. Rhythm is the harbinger of consistency. You’ve got to find your own and groove it.
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.
The only way to know if it’s right for you is through good old-fashioned experimentation: testing it out on short putts (six feet and three feet in a circle around the cup) medium-length putts (10- 20- and 30-footers); and then long lag putts (35 feet and longer).