ode There is no such thing as a straight back straight through putting stroke. If you think you have one, you are either manipulating the club significantly or you just think you do but you really don't.
Face balance versus toe-hang..... all putters go off line if you don't steer them straight, with the exception of the lie-angle balanced putters, which cost a fortune.
Most people don't spend enough time practicing putting, and most people allow missed putts that they should have made to eat into their confidence, which makes them miss more putts. It is better to just realize that even a well struck putt sometimes doesn't fall, and sometimes even a good putter misses what should be a pretty easy putt. We all make long ones that we probably had no business making, too. It all evens out.
I use a conventional grip, left hand high, and putting is the strongest part of my game. I'm the guy everybody wants to have on their scramble team because I make so many putts. I have literally played three scrambles in which I made six to eight putts of 20-35 feet in a single round. To the point that one of my playing partners, who had never played with me before, was trying to explain his befuddlement to the cart girls. The reason I make so many putts is two-fold: 1) I spend a llt of time practicing putting, and 2) I believe that I am going to make putts.