Thanks guys. The bike ran fine before the stator replacement, and the problem does seem to be electrical, so I'm just guessing here. Got a buddy coming over with one of his expensive multimeters, so we'll check out the likely suspects one weekend soon. In the meantime, he suggested I drain the old gas out of the tank and put in fresh with StarTron, or snake oil of my choosing, to see if that makes any difference. The bike sat for about a month with E10 in it, so who knows.
I feel like it's electrical, and related to the stator replacement. If the volts don't come out right, I'm just taking it back to the dealership and let them sort it out. I just put a new battery in it, thinking my 5 yr old neglected one might have been the cause, but no joy.
So, I'm guessing nobody else has had their replacement stator crap out, huh. I didn't ask the dealer, but I assumed it was more robust than the OEM one.