I'd be making sure what goes to what and its only something that you can check yourself as not every tug or van is wired the same, really the best way is to go thru the lot, lights, turns etc, try to have them match the plug plan where possible ...... If you follow your anderson and it goes to the battery, same size cables on battery then I doubt it will be going to fridge as well, plug the anderson in and nothing else ,easy to see if an auto fridge if an analogue fridge put the meter on the terminal at the back of fridge, no need to turn fridge on and wait then.
Pin 9 at 11.8v is too low for a fridge circuit or ESC but it could be charging your breaksafe battery, hence why you need to ID every pin, I'd would be running fridge, ESC, Breaksafe charge off pins 8-12 as they can handle the load better and making sure pins 3 and 10 are going to a good earth, bad earth cause more trouble than anything.... Fridge and ESC should run from battery not from another vehicle circuit the losses and draw can be too much for the standard vehcile wiring, thats why many choose to run a dedicated cable with andersons to fridge.
You should have engine running when you do these checks, I check tug pins then with cover off plug in van so I can use probe on its pins as I go around them all, does save lots of getting up and down.