I don't think you need a NOTAM for that, you could just close the airport directly. And so far this administration hasn't shown itself to be particularly concerned about preventing the spread of infectious diseases like measles.
People drive too much. Cut off ais travel and only a few care - who drive to Los Cruzes NM to fly. cut off roads and they will in mass break the barricades.
That doesn't seem like a good argument for instituting a quarantine by blocking air travel but not ground travel. And why block everything including police, cargo and medivac flights for a quarantine?
Then there's no real infection risk if they'll continue to let people drive out of the area, including let people drive a 4 or 5 hours to another airport to make their trip.
Closing the El Paso airspace will reduce the number of people flying, but not stop it, lots of people will make the drive to Tucson or Albuquerque to catch a flight.
I could maybe see it if it was, say, LAX which is a major travel hub, but shutting down a small regional airport without also shutting down ground travel is "quarantine theater" rather than a real quarantine.
They really prefer you have a passport now, and the vast majority of people do not. Also, I doubt this admin would mind if there was suddenly an uptick in one way travel into Mexico
In what way is it "hyperbole"? From the leaks and reporting I've come across it seems like a reasonable description.
It's not labour camps, and not extermination camps, but rather places where people are 'concentrated' while the bureaucracy figures out where to move them next.
If anything it's really weird to present it as having to do with supposedly illicit immigration, since citizens and people with residence permits are vacuumed up as well.