Should I leave the MH plug in all winter?

Disregard, I just pulled up the owners manual and it states "The converter/inverter also operates as a battery charger when it is connected to a 120V power source. If the battery is below its full charge, the converter/inverter charger will begin operating at a rate that reflects the level of discharge. When the battery is again fully charged, the converter charger drops its charging level back to a maintenance level to keep the battery fully charged."