Good question! The recruiting pamphlet I have lists the following minimums:
1. ATP Written
2. Comercial ME
3. FE Written or Cert
4. Radio Cert
5. 21 years of age
6. Current First Class medical
7. ATP - Preferred
8. Four Year degree - preferred
The flight time summary asks for the following numbers:
In addition to all your flight time broken down by SE, ME, PIC, SIC, Instr, Last 6 mos, and student, they ask you to list the turbo jet and turboprop aircraft flown along with total sic, pic and fe time in type. Then they ask for hours in a certified multi-pilot or crew aircraft as PIC and SIC.
To finally answer your quesion, I don't think they differentiate between SE and ME turbine time. I do think they want to see some "crew" experience in the 121, 135 or military environment though. I don't know of anyone that's gone from single engine turboprops to a UPS flying job. If you were a ground instructor at UPS with that experience, they might buy it, but if UPS or FedEx is your goal, I'd suggest getting some crew time at a regional or corporate operation after you get the 1,000 hour turbine PIC.
Sorry for being beating the question to death! I'll post any new info I find on this subject.