I don't think it matters with regionals. They only care if you have the experience (1000+ turbine, esp 1000+ TPIC) for the majors...if you do, they may be leery unless they get a sense that you'll stick around long enough to make their investment worthwhile.
A type without turbine experience is useless (except for SWA, and then only with 1000+ TPIC).
Majors on the other hand have been suspicious of anyone with a 737 type and no operating experience...they assume your real goal is to bail for SWA ASAP. Airline apps actually asks if you have a 73 type...and I don't think a yes answer is a good thing.