If you can convieniently shut off the chassis batteries with the master disconnect, without loosing radio memorys for example, do that.
I would deffinatly disconnect the tender till I was sure what was going on. If you can not convieniently shut down the chassis while camping you might be buying a new tender.
I would deffinatly remove all the chassis battery cables and service them and if you have not had to spend any money on batteries for the chassis yet it might be time to test them, one at a time, with a charge and a overnight rest to make sure they are all good.