FAA Air Traffic Control will use the AF1/AF2 call sign when talking to the pilot if POTUS/VPOTUS on board, no matter what aircraft type. From the ATC Handbook...

"When in radio communications with “Air Force One” or “Air Force Two,” state only the call sign “Air Force One/Two” regardless of the type aircraft."

Flight trackers will not have the AF1 designation but just the aircraft registration ex, 82-8000