Inverter changes 12 volt DC to 120 volt AC power. A CONVERTER changes 120 volt AC to 12 volt DC.
Turning your converter off for winter storage will not NECESSARILY protect your battery from drain. If you have an isolator switch installed and it's correctly wired, THAT will protect against discharge but one SURE FIRE method is to simply disconnect the negative lead from your battery(s) while in storage. Usually your detectors (Lp and or CO) are wired directly into your electrical system and those alone can cause a fair amount of discharge. Turning off the converter will probably NOT turn off these items.
