End over end means less axis rotation which mean for a weaker ball, less hook.  So the strength of the ball matters because you can roll a stronger ball more end over end on heavier patters and still create the entry angle necessary to carry. My hypothesis. What do I haver wrong?

CC

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 )

Good points kidlost.  Speaking of 2 handers, I find it amusing that the Belmonte, the most proficient 2 handers, is great at adjusting his axis rotation to the condition, yet all the wannabes just use it to hook the lane more.    I don't know if anyone else remembers, but when he won using a plastic ball a couple of years ago, he lost his reaction at one point and ultimately squared up more with less hook to regain his carry. 

The reason it won't revolutionize the game, is that it is simply too difficult and physically demanding for very many people to become proficient at it. 

Guys have been hooking the ball a lot for 60 years, but it has always been the Carters, Webers Anthonys and WRWs who win all the money throwing it straighter.  Only for the briefest period during the 80's was the game dominated by power players hooking the lane, and it took a unique combination of urethane balls and extremely short oil patterns for that style to dominate.   

There was a time when the strongest hitting ball hooked the most.  However, the introduction of high friction balls 20 years ago really changed that.  Prior to that, balls went through a longer transition from skid to rollout as they cleared the heads.  The resin ball has so much surface friction that it transitions quiickly from skid to rollout unless you have good ball speed.  However good ball speed and too much side roll ( axis rotation ) causes too much of a skid snap reaction that is hard to control as the lanes transition. It can work well on house shots where you can control where your ball comes out of the oil, but puts you in jail on flatter patterns, and forces you to play angles that are not optimum for carry.

On longer oil it is more important to get the ball into a roll, than it is to hook the ball a lot.  It really depends on what you mean by average axis rotation.  This gets into whether you are speed dominant or rev dominant.  Slower ball speeds usually imply rev dominant.  Even on longer oil, higher ball speeds ( 17+ in the heads ) are usually necessary to keep the ball from rolling out.  Again hitting power is derived from the ball releasing energy on the back end, not from the amount of hook.  Hook is really more of a by product.  Said another way, it is not how much the direction has changed ( hook ) but how much energy is still being released to create change of direction.

I am a low rev player with low axis rotation.  This does not prevent me from moving deeper inside as the lanes break down.  What it does do is make me  use a shallower launch angle ( less head belly ).  If I change my hand position to increase axis rotation and get more hook but I lose too much rotational energy as the hook increases, and my carry percentage usually decreases.  The only way to increase the carry is to increase my rev rate which I cannot easily do.   

Gotta say +1 to you Avabob...can't tell you how many folks I see just in league trying to use way to much ball on what is basically a med volume THS at best, and all the while complain about their ball not hooking.

My favorite ball in my bag right now is the Solaris Blackout, lower diff symmetric core with a weaker cover, reminds alot of the Red Pulse Pinbuster mentioned, it gives me all the hook I need, and the advantage of the weaker cover is that my moves are smaller and less for three games in league, and it keeps me in the pocket the majority of the time.