The reason your fridge and my compressor has operation problems when plugged into the rear hatch lighter socket is simple. Skinny wires and I^2R voltage drop. The (loaded circuit) volts reaching the appliance are too low.
LOL
I tried to inflate tires with a chinese pos harbor freight compressor... could barely hold an idle on the REAR cig lighter jack. Moved it to the front and the pitch of the compressor went way up and worked fine. Go figure.
