I'm in the minority and prefer to turn both chassis and house batty switches off, inverter/ charger off and I use Battery Minders (TM) to maintain both.
Chassis is a small 1.5A or 2A unit and for house I bought their selectable 2-4-8A unit. Both are multi phase quality maintainers and I have had excellent results with them.i have kept a few AGM UPS battys that were being replaced on PM sched on maintainers as stand by for 10 yrs + and have then placed them in service with some still going after another 5 yrs of use.
I can't see running an inverter 24/7 unattended in storage, when it is not needed. Many are designed for 100+A input/output and there have been instances where they have caught fire.
I permanently mounted my maintainers and wired them so one short extension cord near storage outlet takes care of both. Bonus is storage unit doesn't charge me for power since I don't plug in MH and only use small maintainers with next to nothing for draw.
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