I'm not so sure. Airlines have sent huge numbers of their aircraft to the desert for storage, so quickly spinning up flight supply and then spinning that back down will be expensive.
I find it unlikely this will be the limiting factor in flight demand. Flights are typically booked a few weeks in advance, which is adequate time to go retrieve the planes from the desert and inspect them to insure they are airworthy.
It's not like people are going to be showing up at airports overnight buying flights for the same day.