Being a pilot of a completely different airline and flying a Saab for 4.5 years I'll just say that T-PIC is exactly that.
I can think of a few International carriers (Emirates for one) who won't accept anything except heavier jet time, but ALL of the domestic majors want T-PIC time. They don't specify or discriminate against the Turbo-prop guys.
I'm friends with guys/gals at both Republic and SkyWest and there are pros and cons to both. But frankly, if you live in SoCal and want QOL more readily available I'd go with SkyWest.
Just my $.02. Good luck and welcome to the airlines!