Speaking out from personal experience;
With data from the street and canyons the AC on keeps my car at around 180-185 coolant temp (Note* base engine and stock cooling system) when cruising or in traffic. Having the AC on puts approx 25% more load on the engine based on obd2 data (ranges from 24-27% load- I haven't noticed anything to effect these loads, but the range is minimal for in my opinion).
When I was at gridlife running for 2 days straight I tried multiple combinations to try to edge out every ounce of my 90whp. I tried running with heater on to windshield, to feet, AC on, AC on in pits then after, etc. Every single session I basically tried a different combination.
Ultimately the fastest combination was the car turned off while sitting on grid and I didn't turn it back on until we were heading out, During the run I had the heat on full blast to my feet. My feet also get cold easy so maybe it was a driver comfort thing? but it got me to the podium so I will continue this method regardless.The fastest lap was done on the 3rd hottest session out of 8 for the weekend. So could have been better in a morning session.
Second fastest setup was leaving the car on in grid with heat to my toes full blast and driving that way also. This time was approx 4 tenths slower than the PB lap but this run was done on the second coldest session of the weekend.
The third fastest lap of the weekend was done when I had the car on max AC in the pits, the temps would occasionally drop to 177 degress and then I kept the AC on max on the out lap and 2 turns before starting my first hot lap I switched the car to max heat to my feet. This was 0.8 tenths off the PB lap and was done on the hottest session for the weekend.
There's multiple variables here with tire temp, ambient temp etc. but this info may help you out.
From what I felt, after putting heat to the windshield it felt slower for a while, maybe those motors stay on for a bit after?
AC cooling seemed most effective when put on max settings.
This is a track I have driven about 2 dozen times. And overall, my times for the entire weekend were within 1.2 seconds (Besides first session - I forgot to drop PSI from street psi)
Hope this helps you in some way