The ignition on these is 'Capacitor Discharge Ignition'/'CDI', they charge a capacitor from the stator up to a fairly high voltage, then when triggered by the seperate trigger coil, dump it into the primary winding of a fairly low resistance ignition coil. The generator/stator coil for charging the capacitor, shouldn't burn out from a faulty/low primary winding resistance ignition coil as it doesn't directly feed it. There's a possibility the internal capacitor is faulty in which case that's usually a new CDI needed, or as the post above suggests, it could be a wiring problem/short circuit to earth in the wiring from that generator source coil to the CDI unit.
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HarryHellman07
@HarryHellman07