If the battery is faulty then it could certainly lose charge through an 'internal' discharge path. I don't know much about Autosleeper electrics but I would have thought that if the isolation switch is off, then there shouldn't be any other path for it to discharge through.
You say the battery is showing half charge - how did you check this? if you're using a voltmeter what sort of voltage are you reading?
Cheers
Mike
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