More than either, being ex-special forces. I know a couple of docs who were such, one a SEAL and another a PJ - they have a lot more street cred within that community than your average HPSPer.
Beyond that - probably doesn't matter. You'll get more trauma exposure in EM, but it's not like you're going to be working in an ER. Through ATLS, CSTARS, C4, etc, you'll be getting enough training for what you would be expected to manage trauma-wise.