That’s the saw’s primary advantage. It automatically removes any temptation to rotate the putterface through impact and almost assures a square strike. Granted the saw grip won’t work for everyone (remember we’re all different).
You need two things to make breaking putts: 1) a stroke that starts the ball on your chosen line and 2) the correct amount of speed so the ball can hold that line all the way to the cup. Good line good speed—nailing one isn’t enough.
Few trees exist on the course to hinder the free movement of heavy air from Long Island Sound and the Atlantic Ocean to say nothing about the neighboring waters of Hampton Mecox and Bullhead bays (and the smaller Cold Spring Old Fort Middle and Far ponds).