My guess is yes, but the current surplus of furloughed and collapsed airline pilots has to dry up first so it could be another 5-10 years before the effects are felt. This projection includes the effect of another legacy collapsing and putting another 5000 to 8000 pilots on the street and the subsequent negative impact on their feeder airlines.

While some will interject that it's not a "pilot shortage", just a shortage of pilots willing to work for $20,000/year, the results are the same.