Mike,
I had already stepped in early once before someone had time to reply just a bit earlier in this thread so I was trying to give you a chance to reply this time!
I'll note that I'm avoiding splitting hairs and there is actually a few degrees of error in what I am saying and then get on to the point. When a ball collides with another one with spin on the first ball that force has to go somewhere. The laws permit nothing else. Some remains with the cue ball, some transforms into heat and noise, some transfers to the object ball. An easy proof is to place a ball six inches in front of the cue ball and hit it full face with stun, extreme draw, and force follow, trying to hit with the same force. We have removed most variables other than spin so when we see the object ball travel different distances this directly proves that some of the force of spin is translated into forward motion or retards forward motion. Hardest to hit the object ball with but force follow actually retards forward motion on the object ball. Once we have demonstrated that spin does affect distance then it is easy to see that spin is still spin, doesn't matter if it is horizontal or vertical.
As PJ's diagram indicates and again without splitting hairs in a full face hit the force of the spin is at a right angle to the force of forward motion. As a result it neither adds or subtracts to forward speed.
The further to the side the collision is the more leverage the spin has to work with and the greater the effect until we get to the optimum attack angle for spin to have maximum effect. As I noted in an earlier post, inside spin where the object ball is hit with the leading edge of the cue ball adds speed. Outside spin with the trailing edge of the cue ball hitting the object ball reduces speed compared to a cue ball hitting the object ball with no spin at all.
This is well explained in many machinist's handbooks and manuals. When spinning particularly a large tool direction of travel and the side of the tool we are cutting with has to be considered. We measure cutting speed in inches per second. On the trailing edge of the tool we cut slower because travel speed is now subtracting from turning speed. On the leading edge we cut faster because the travel speed is adding to the turning speed.
If we were foolish enough to leave the piece of work we were cutting floating loose the result would be that it would fly faster and further when hit with the leading edge of a big cutting tool than it would when hit with the trailing edge. The same effect has to apply to pool balls unless we are to say that none of the energy of spin is transferred. Too many examples of that exist to practically argue that position.
To tie up a loose end, we usually get better spin transfer between objects with a slower speed collision. Freddy the Beard put it as speed kills action. With very slow speed the action dies before the balls contact and has no effect but in the vast middle ground often a slower speed results in better spin transfer and greater action. We often see beginners smashing a ball trying to get adequate draw while a more experienced player seemingly effortlessly taps the cue ball for table length draw. Part of the issue is where the cue ball is hit of course but another issue is after a certain point the harder we hit the balls together the less spin is transferred. I don't know the exact formula but energy transfer has to do with time of contact and friction. Slow to medium speed hits seem to maximize the equation.
Hu