A 3-4 week storage period should not be a problem for the chassis battery. It also should not be a problem for the coach battery if you turn the battery disconnect switch to off to prevent drain from things like CO detector.
During winter months I go to storage yard once every 3-4 weeks and start engine and also exercise generator. Never had any trouble starting.
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2012 Forest River Sunseeker 2300 Chevy
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