My opinion only, the typical fighter pilot response: it depends. If you're an O3, young O4, probably not. If you've been around a while, maybe. In my interview they stressed normal/above average progression. Flying airplanes for 15-20 years and not being an IP is a red flag. SEFE is icing on the cake and is a helper. Being an IP in multiple airframes helps too. I'm not sure how they view an IP in a T-6 vs an F-16. Maybe no difference.

Again, just my opinion. There are a few on these boards who are in hiring at the majors and know better than I.