There is no rectifier, and no flasher relay either (no turn signals). I posted the diagram to show that the current wasn't transformed on its way to the gauge. The rectifier was fitted to some models for the horn for some markets, but not on mine.
The only alterations to the wiring were to add a brake switch to the handlebar in line with the foot pedal brake switch; also, the brake pedal is fed through the main circuit instead of having its own wiring, and the rear light has its own wire coming from the regulator. Nothing that interferes with the gauge circuit as far as I can tell.
A battery could always be fitted, but the point of this bike being all AC is to keep it simple and easy to repair and maintain. I'd rather avoid that route.