Welcome to the forum!
That Use/Store button must be on for the coach batteries to charge, too. When you store, be sure to turn it to Store. It won't stop all the drain on the batteries, but it will stop most of it. Some have installed a battery cut off switch. I start my Vegas every couple of weeks and let it run awhile, and haven't needed a cut off.
I think we need to stop calling it "working from home" and start calling it "living at work!"