Here's the truth.
Cue ball spin DOES transfer it's opposite to the OB. Usually. Most of the time. Well, it depends.
Obviously, there are some variables involved.
I have a rough list of what I think those variables might be, but I'd love to hear your ideas about them.
If you are serious about finding an answer to this question, I strongly encourage you to start by watching the first 5 videos in my SloMo pool playlist over on YouTube. These were all shot with a real slow motion camera (4x to 33x slower than real time -- most clips are at 8x). Pay close attention to the spin of the cue ball versus the resulting spin of the OB.
http://youtube.com/playlist?list=PLlw7cNe9koP3oVpqpqbAebe39gwkN48tI
With these videos as a starting point, and with practice and further discussion here, we all can make our own determinations of how (and why) cue ball spin affects OB spin.
If we can continue sharing our observations, and debating ideas respectfully, we can all learn this game together.
-Blake