[Stealthee]

Fan operation has nothing to do with ac operation other than the second fan kicks on to assist in keeping the engine cool. If neither fan kicked on the ac should still be cold since engine ac is a sealed system separate of the engine coolant, unlike coolant affecting heat.

Some newer cars will disengage the ac clutch if the car overheats as a precaution though. It doesn't sound like the op is overheating though.