Of course not. They will never show the public anything they don't want the public to see.
Flight controllers have the aircraft on radar anyhow. The ADSB radar is a frill where aircraft responds with digitally coded data when it receives a radar ping. ADSB is absolutely not necessary for mission safety. I'm sure the military would have other transponders that are NOT public for aircraft identification.
Planefags like to peek at the ADSB maps even if we don't expect to be shown much. Sometimes we get lucky.