Ok, I am still dead in the water. Absolutely no idea.
The Stator puts out 30 to 40 volts (AC). I have replaced the CDI and the coil with two different other units - I have now replaced the trigger coil too. I buzzed all the wiring, I redid some bad-looking connectors, I removed the grounds and cleaned them all up.
I am really desperate! What the hell could it be? Why no spark?
It's like this thing is defying physics just to piss me off.