I beleive you are right about the spark having to come from somewhere, and the "generator" is about where you mentioned I beleive, so we are probably talking about the same thing. My point is that they don't go bad on sportbikes all the time like you are trying to imply.
About the signal generator, I'm not exactly sure but from looking at the schematic(I was looking at one when I gave those terms, so there a component called a signal generator on sportbikes), I'm guessing it has something to do with spark timing.
I'm not questioning the quality of the type of bike you choose to ride. Especially with your personal ride being a BMW, I'm sure it's an awesome machine. I'm trying to prove your idea of generators in sportbikes going out all the time, wrong.