If every single one of you is getting an offer or more from the big guys like AA, UAL, DAL, SWA, FedEx, or UPS, as soon as you post your app, then I would agree that there is probably a pilot shortage.
Remember, United's Kirby (quoted in the link) said this at an investor meeting... to investors. So when he does something, like buy another flight school, create another regional flow, start bus service (motor coach, not FiFi) on short routes, the investors say, eh, makes sense, pilot shortage.
The real shortage is probably at the regionals. Between wages, archaic flows, etc., and the higher potential to jump up to the major off the bat, yeah, I can see them struggling to fill seats.
Funny anecdotally, recently met some new hires and some came from just about every other major out there.
It's a very good time to fill out that app and say no to the bonus.