Explain my situation then.
First, I do not want to make an argument out of this at all. I am only trying to educate and help you.
(Note: I use CAPS to only emphasize a point, not to be loud!)
You may have described your original problem of the temperature vent flow of COLD air coming out of one side and WARM/HOT air coming out of the other side of your vents incorrectly (no big deal! )
...OR..
You can't seem to grasp the fact that your compressor only processes freon in your a/c system, which results in making the evaporator inside the pax compartment and behind your dash extremely COLD. That is the only thing it does..make that evaporator COLD. You also have a heater core under your dash. It is heated by the coolant in your engine/radiator system. The heater core gets warm to HOT. That is the only thing it does..make that heater core HOT!
This is where the blend doors come in! These blend doors do exactly that...blend the COLD and HOT air available FROM the COLD evaporator or the HOT heater core until it matches the temp you as the driver select. it can be 100% all COLD or 100% all HOT or anything in between! In addition they direct this air flow into the different vents in your Explorer...dash/floor/windshield defrost/etc.
Your Explorer has DUAL air! You can select different temps for driver and pax sides. You have left and right side blend doors! They are independently controlled by these blend door motors! These motors are controlled by the on board computer! There are many inputs (to many to list here), but their position can pull air flow from the COLD evaporator chamber OR the HOT heater core chamber INDEPENDENTLY to the left and right vents AND in A variable mix (Both COLD/HOT). THIS IS THE ONLY WAY THE TEMP CAN VARY FROM ONE SIDE TO THE OTHER)!
All the above said, I hope you know understand the new compressor (although needed) had nothing to do with correcting your perceived problem of one side pushing COLD and the other side pushing WARM/HOT!
My best guess is your dealer either 1) RESET the on board computer that controls the blend door positions, and/or 2) replaced another ac control part and/or 3) disturbed and inadvertently corrected a bad electrical or vacuum connection in the process!
I can assure you, I chased this same exact problem for over a year and it would come and go. It can be erratic. Mine was blend door motors that were out sync with the on board computer.
Again, I am only trying to educate and help you understand and not criticize you in any way!
Should your problem come back, feel free to contact me!
Are we OK now? I hope your issue is resolved.
picS below: How the compressor does it one and only job...make the evaporator COLD
and simple generic blend door system air flow (yours is way more complicated).