My Bigfoot too has the tie down location grounded (green wire). Everyone's camper is grounded to the truck through the charge/light cable too. The green ground is supposed to be non-current carrying except in a fault situation. The charge cable does not have a green ground. You really only want the green ground connected to the current carrying ground (usually white) in one place. That is to discourage ground loop currents, which can cause all manner of odd behavior. I would not use the camper chassis as a current carrying ground for that reason. It should be tied to green ground so that faults are noticed (12V wears through and touches chassis, raising it to 12V). While 12V is considered SELV voltage by standards, it can cause a fire even if it doesn't electrocute.