Your question made me think. I know that when I change a tyre, I chock the other wheels and upon completion of the wheel change, when I go to retrieve the chocks, I usually have to kick out one side as the vehicle has tended to want to roll either forward or backward.
While I have not actually tired it, I seem to recall that if I for instance, jack both rear wheels off the ground, that if I manually rotate one wheel, the other on the opposite side rotates in the reverse direction at the same rpm.
Also with a rear wheel drive, with both rear wheels off the ground, if I were to have the engine running and in gear, say at idle speeds, if I were to hold one wheel so it would not rotate, then the other wheel would rotate at twice the speed of when both wheels were rotating. I also recall doing this with one wheel off the ground and the other still on the ground, the engine in gear and at idle - that is when you find out if you have a functioning limited slip or locking differential - not good if you do.
That could be the situation with your 3 and a locking electronic diff. All would be fine until the computers kicked in and assumed the 3 was "off road", had a wheel hanging in mid air and was for the moment stationery, but wanting to proceed. That would not be the time to be under it or have a wheel off.
These actions are a result of the internal design of an unlocked or non locking differential that allows one wheel to rotate in the same direction for a short time slightly faster than the other side, as when going around a corner. I say for a short time, as if one had a smaller wheel on one side, (wrong size spare tyre), eventually any differential would go bad.
I am not really answering the question, but I think that is just the way a differential works and hence what you are experiencing is normal. I think that is why it is called a differential rather than gear box.
Also do not be too certain that leaving a door, (any or all), open will keep the air suspension from dropping or doing the self level thing. About the only fairly certain way I know to keep the air compressor exhaust valve closed is to disconnect the battery so as to depower the computer that could tell the exhaust valve to open. It has a mind of its own and it really can drop fast. Alternatively, there are some fuses one could pull, the disconnecting the battery is for certain.


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