Things that affect inside temp on fridge other than thermostat setting.
OUTSIDE temp (Outside the coach) this is where the cooling unit dumps excess heat. The hotter it is out the less heat the cooling unit can dump or the harder it is to dump.
INSIDE (ROOM) temp: The hotter the room, the faster heat enters the cold box
Heat,like water,seeks it's own level, (Tries to be uniform)
INSULATION Thickness (This tries to keep heat out
Design of cooling unit and size.
What you put IN the unit
How often and how long door is open.
So yes. The temp in the "Room" (Motor home) Will affect the fridge.
Home is where I park it!