When a ball rolls its first revolution (and every other revolution, but with a different PAP and NAP as the track flares), it's like there is an axle between the PAP and the spot exactly on the other side of the ball (called the negative axis point, or NAP). Think of the NAP and the number of concentric circles that can be drawn around that point. Each circle has the same NAP and PAP, but different diameter, which means different axis tilt.
Dan -- Can you post the slo-mo video of the ball coming off your hand with the PAP stationary, then changing as the ball flares? Some people don't think it will begin migrating before they pick it up with their eyes, and that would be a great tool to use. -- JohnP