That crossed my mind. I did feel some vibration that I think was the AC compressor, but then it could have been just the fan. Not really sure how to be sure what is running. There is a lot of heat coming from the front when the fans are running that fast. I kind of doubt Tesla would make such a fundamental mistake. Sitting in the car with the AC running while waiting on a Supercharger is a common thing. I'm sure they thought of it.
Here is a picture of the Temp control flows during a HPWC charge cycle while the battery was cool. Note the target temperature of 30˚C for passive cooling and 50˚C for active cooling. In this picture, because there is no cooling needed, the coolant is just circulated through the battery to keep all the cells at about the same temp. When in "series" passive battery cooling, I believe the valve on the left puts the battery in series with the charger, drive inverter, and motor (stator/rotor) cooling loops. In "active" mode, the "chiller" is used to actively cool the battery.
This is a picture from 5.9. In version 5.11, the "active cooling target" was changed to 49˚C, and the "active heating target temp" was changed to 9˚C.
Too bad "mere mortal" users can't see these screens. They would be great to watch in the heat and cold, charging, preheating, and driving. Right now these screens are only available when the technician connects to the ethernet, diagnostic port and enables them.