Sounds like you're talking about a starter, not an alternator stator.
The alternator stator doesn't turn, it's fixed to the rear of the crankcase, around the crankshaft. A rotor attached to the back of the crankshaft, revolves around the stator. Whenever the engine is running, the two components are generating. Nothing to do with the ignition system or the starter system. The starter motor is a separate contraption.
Still unlikely at low mileage like yours. As I said, easy to check, if you have a multi-meter and know how to drive it......