LTD2019

we have just finished our first year with our new 2018 Thor 29.3 motorhome and are putting it away for the winter in Nova Scotia Canada. WE have been told to leave the batteries in and the rig plugged into power. We have also been told to remove and store batteries in a cool place(on a charger).My main question is that if we leave it plugged in then the inverter motor that in under the bed will be running all winter (6 months) for no reason and is this good for it? Any input would be greatly appreciated