IMHO, the airlines find value in the whole package that they get with mil folks. Anyone can fly an airplane. Especially with today's automation. I think the airlines like the fact that most mil folks have a diverse background outside of the cockpit. We're not just pilots. We're Flight Commanders, Weapons & Tactics Officers, Safety Officers, Director of Operations, Mobility Officers, Training Officers, Executive Officers, etc. Does that mean that we're better pilots? Not necessarily. However, a Mission Commander that has led a 60-ship package to strike high value targets or to rescue downed aircrew or defend a high value asset, has proven that he can manage and lead under extreme stress.

That doesn't necessarily mean that he/she can fly a better ILS or even deal with an unruly passenger while safeguarding the image of the company any better than you. It's just another discriminator and gives the airline a better picture of who they're hiring. Just like the college degree, the airlines have found value in military folks. They've been hiring them for many decades.

Just my $.02 as a prior CFII, corporate pilot, prior single-seat mil, and current mil crew dawg and 121 guy. Take it for what it's worth.