From what I have seen, they hire into a spec. type A/C. So I would think that if you have a type in that type of A/C you would be looked at before others. With many different type of A/C that are being flown, I would think that having a type on any one of those would 'seperate' you from others. They do keep your resume on file even if they are not hiring for that paticular A/C at this time, so submitting a resume doesn't hurt.
Not sure about how to find out what they are hiring into, it was LR60's a few weeks ago, not sure about today. We received a email from HR that asked if we knew anyone with a type rating in Bizjets should submit a resume.