AVLawn: Although the book says generator, I suspect it's an AC generator, and probably the removable pack has the rectifier diodes on it. I haven't had a problem with mine, so don't know for sure. Fried diodes are a fairly common failure.
I know you've probably checked, but if not, one area I've had some problems with is the wiring, particularly in the main junction box and behind the dash panel. Short wires have caused tension on the 1/4" spade connectors. A bad connection can masquerade as a lot of things. A number of us, for instance, have had balky starters due to high resistance at the spade connectors in the circuit, causing them to lose clamping force and intermittently open up. I have a new one to chase, which shows a good circuit with a digital meter, because of low amps, but intermittently opens with more load.
Some new ends in the alternator circuit (at starter switch and in box?) and even a short extension where a wire is tight may be good diagnostic steps.
Good luck and keep us posted on what you find.