The early stages of the putt do have diminished angular acceleration on the putt path, for reasons explained in my last post, namely the fact that the ball is traveling, in most putts, the fastest at the very beginning. Generally speaking, the longer the putt, the faster it's going out of the gate, and the ball powers through early breaks, but nonetheless, a small change in direction early can mean a lot if the putt is long. For example, a 5 degree change in direction to the right, over 30 ft, means it sends the ball 2.6 ft to the right. If there is a late break, 5 ft from the hole, back to the left, it has to make the ball turn 31 degrees in order to offset the early 5-degree break. Simple trigonometry shows us how early breaks are extremely hard to deal with -- if you're just a tiny bit off with your guess, the ball will end up far away from where you expected it to.
Sometimes it does turn sour right off the face of the putter, but I believe it to be because of hidden bumps on the green, which the grid system can't accurately display, and possibly putter precision as well. I don't believe it has anything to do with early breaks being too strong, but rather because the grid system doesn't allow you to see every tiny detail of the green, only giving you a rough idea of the shape of the sometimes much more detailed putting surface. Tiny, hidden bumps are rarely found on STA F9, KIA B9, or BPB greens, but they are quite common on STA B9, Oakmont, and especially KIA F9 (holes 1, 2, 3, 4, and 7).