I'm also an engineer (Mech E), and it bothers me to no end. I don't know for sure, but the behavior seems to support the description that the compressor runs non stop and they just add warm air to achieve a temp warmer than "LO." My evidence is this: say the inside of my car is HOT, like 90F or so. I set to LO, let it run for a minute to reach max cool temp, and get a feeling (with my hand) for the temp of the air coming out. Then with my hand still feeling the cool air coming out (and inside temp is still VERY HOT say maybe 85F now) I set the temp to 65F. The air coming out of the vents instantly gets a tad bit warmer, but is still cool. The only explanation I can think of for this is that the AC compressor is still running, but they are adding some warm air. And this is WELL before the inside temp is even CLOSE to the set temp. This is just wrong on so many levels. But this is the behavior I observe in my Oct.2017 Model S75 (standard HVAC system, no HEPA / biodefense). I am not sure if/when the compressor runs when heating the car in the winter, but I assume it's running if the "AC" button is turned on.
This bothers me so much that when cooling the car, I end up just always leaving the AC at "LO" and I manually cycle it or simply adjust the fan to modulate inside temp. If the AC compressor is going to be running all the time anyway, I might as well manage it myself and not have warm air mixing in. It's just the principle of it, really. LOL.
The best way to prove this hypothesis would be to actually measure the temperature of the air coming out of the vents. I thought that the air coming out of our heat pump on the wall at home was a higher temp when the fan was on high. I stuck a thermometer in the outlet and verified that it was my imagination. The temperature of the air didn't change, it was my perception.