Next Idea. Mostly all rear AC units have 1 to 2 rear blend doors. (1) Will blend AC Evaporator cold air and heater core hot air. In the winter this dehumidifies the air so your windows do not fog up. (2) will control air flow direction. Ceiling, side and floor vents. The plastic gear in the electric blend servos will break (random clicking sound from the vehicle rear)Retired AC Tech: The rear AC units on nearly all GM units do not use an orifice on the rear evaporator. They have an Expansion Valve located in the evaporator case.
Type into youtube 1993 Chevy suburban rear AC expansion valve location.
And if the blend door is not closed the heater core will kill your cold air temp. All year round because heater cores always have flow. The blend door is the temp control.