I rather take a snowstorm over that
No way. Snow is cold. Snow kills both visibilty
and traction. Snow sticks around and annoys you well after a dust storm has come and gone. Snow is heavy and makes things collapse.
Dust inside the airport buildings happened because the morons did not shut off their ventilation systems. I do this in the house and get pretty much nothing inside. Since they are here and gone fairly quickly, ain't no big deal. Often the wet side of the monsoon comes in on the heels of the dust and washes everything down.
You definitely want to be inside. The reporter at the airport is a dork for not wearing a particle mask and wrap-around eye protection. Debris big enough to injure is a concern. Better than earthquakes and floods, for sure.