Yeah I get you now, it would only activate the brakes and drain the power from the breaksafe battery which would still be drawing power from the house battery at the same rate as normal as its a trickle charger, so the breaksafe battery would in the end say 30 mins be near flat but should start buzzing to let you know ..... This I do know as somehow someone forgot to put the plug back in when doing a brake adjust, it wasn't long till I heard this buzzing sound, can't recall if the charger was turned on or not, a quick check soon found the cable and clip hanging from tow hitch ............ if its really quiet you can hear the magnets hum as well.
So source of supply for charging is academic as pulling the plug will flatten the breaksafe battery, don't really hear it happen much and in fact I imagine there would be plenty running around inoperative, of course if the van battery was used as the breaksafe supply direct to brakes, then it would get flattened but you would realise that well before you hooked up to tug or if not flat then when you drove off the wheels would drag... be certainly a good test for your solar charging system...