Which brings me to another of my deep-rooted tenets: you don’t have to use the same grip on all putts. Run your own test on the practice green. If the saw feels good on short and medium-length putts commit to it for 10 straight rounds.
In both cases the key is to adjust your shoulders so that they sit parallel to the slope you’re standing on while maintaining good balance so you can swing through the shot. A good practice swing is essential so you can “see” where your swing is bottoming out and making a divot. Use the divot’s location to confirm that you’ve positioned the little white ball in the right spot (i.e. before your wedge strikes the big green one).
One of the things that separates Tour players from the rest of us is that the former are intimately familiar with their games. They know how different shots will unfold regardless of where the ball is sitting especially around the green (where difficult lies abound). Not surprisingly that’s where weekend players tend to cough up strokes.