They never called me until I got jet PIC (I had plenty of jet SIC and turboprop PIC).
I assume SWA would have called had I applied back then, they were scooping up my buddies left and right. But other than SWA it wasn't looking good for that group.
Apparently statistics show that a turboprop pilot is more of a training risk. But you'd think jet SIC would solve that. I think large turboprop PIC, especially 121, would be worth having but you may need to get some jet time eventually. Small or SE turboprop won't do much.