I'm not sure why you would "switch the coach off" if you are plugged in but I don't think the coach batteries will charge when the the coach is switched off (AKA in STORE MODE). You could verify this with a voltmeter on the coach batteries with the coach plugged in and try different Store/Use positions.
Now, if the coach is plugged in and in USE MODE, the the Coach/House batteries will be charged, but the Chassis/Starting batteries will not (they're only charged by the engine alternator).
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2018 Palazzo 33.2
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