We have the same unit as you do. I leave mine in my barn plugged into shore power when we aren't using it. The refrigerator runs all the time. I've been doing this since we got the Monty last November. I check the battery periodically and have not noticed any significant water loss so I assume that the converter isn't cooking the battery. I'm not sure but I think that my converter is a staged converter. I can't find anyplace on it to plug in a module that has been discussed on other threads here. The paperwork on it isn't very discriptive. I wouldn't worry too much about it.
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