I had the oppurtunity when I was an intern at CAL to talk with the hiring board and sim evaluators. I had 1900 time going into the into the internship and when I did my sim training they asked me where I had been flying. They told me flat out that they the best sim performances they see during interviews are from turboprop guys. Take that for what its worth.
DISCLAIMER to all the jet jocks (especially XJT guys): They didn't say anything about their CRM skills, decision making abilities, attitude or professionalism. Nor did they say how many turboprop guys got hired as a result.
I can't stress enough that it really doesn't matter what kind of time you have. What you need are the published mins. After that the amount of time it takes to get an interview is directly proportional to how high up your internal rec is.