More axis rotation does not mean more revs, it just describes the angle of the axis to the lane. A heavy handed player can achieve as many revs with a 20 degree axis rotation as a 45 degree axis rotation, the ball just hooks less. Pete Weber generally is considered to have the most axis rotation of any pro, but does not have the highest rev rate. Sean Rash has an extremely high rev rate, but does not have a particularly high axis rotation. However he still has enough axis rotation to hook the ball a lot.
The greater the axis rotation, the greater the hook ( all other things being equal ), and hence the entry angle. As the ball moves down the lane it loses axis rotation, partly due to hook, and partly due to friction. A ball that has lost all axis rotation deflects more at a 6 degree entry angle than a ball that still has some axis rotation even if the entry angle is only 3 degrees.
The misconception about hook and rev rate goes back to the days when friction was hard to find. With the old balls a high rev rate did no good unless you found friction. There was a very direct relationship between hook and rev rate with the old balls on wood lanes. Hence hook could be thought of as a measure of rev rate. Today, there is so much friction that even an old low rev guy like me can hook the ball a lot with enough side roll ( axis rotation ). The problem is that exess friction makes my low rev release burn out as it crosses too many boards. By lowering my axis rotation I can play more direct with the same rev rate, and the ball will store more energy for the back end without hooking as much ( assuming I have adequate ball speed )