An empty tower at La Guardia with a bunch of airplanes in the air not getting a reply to their calls is Die Hard 2 stuff. Spare me the Pete Hegseth school of ATC...
I have absolutely no idea what you're talking about. The GP is literally about a lone controller in the tower having a medical episode and what would happen after that.
The pilots would execute untowered approach procedures, a small airport with little to no traffic and VFR flight you may self-announce on frequency, a larger airport you go back to approach, etc.
Each of those flights should have an alternate and be prepared (have enough fuel) to divert. If there is a fuel emergency then self-announcing is likely appropriate as the plane is coming down anyway, but that is multiple things going wrong.
