I just wanted to add that the best carrying ball is one that is no longer hooking as it hits the pins. It needs to be in the roll phase, rolling in a straight line, but not rolled out. True roll out only happens when the balls rotation axis and tilt both equal zero. Then the ball is just lazily rolling end over end and has no more stored energy. "Hook" can very much be an illusion. When viewed from the foul line a ball that is rolling diagonal to the lane can appear to be hooking, when actually it is in the roll phase and is rolling in a straight line.
Often times an aggressive ball that hooks early achieves a very poor entry angle. Even if it hasn't rolled out, the entry angle is too shallow and therefore it won't carry. This makes it look like the ball has rolled out. It is very possible to use an aggressive ball, play far enough right, have the ball hook early, and carry all day long. There's a guy on my league who does this. He starts the ball up the far outside and his rotation is quite end over end. The ball start to move early but is very controlled. His entry angle ends up being superb! But if he moves in a little further as the lanes dry up, he may have to change rotation or change balls or his carry can suffer.
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