Don't let WK sacre you too badly. Now-a-days, FBO owners, Directors of Maintenance, and the such look for that kinda junk on a resume. Hey, I were a business man, I'd look for it too.
Here is another little story for you....
I spent my four in the Corps, got my 'Good Cookie' and got out, went to get my A&P in a popular aviation school and landed a sweet gig working on corporate jets, it was a one in a thousand deal. I guess they liked the Marine thing on the resume - whatever.
So, now I have been bending wrenches for nearly 20 years on Challengers and Gulfstreams, I have moved up and I have moved down the food chain a couple times, changed companies etc.. I get this email to come to my squadron's reunion. I go and see an old friend of mine, he was a Sgt and now he is a MSGT and looking toward a retirement soon. He starts telling me about all of the little classes and courses he has taken over the years and was going to start looking for some sort of airport/aircraft management.
Long story short, I gave him my name and number to call....
He has not called me, hopefully he made it alright.
Moral to the story: Don't expect to enter the rat race on the pole position, you might have to pay your dues like the rest of us.
Military may or may not count towards bonus pionts, depends on the person looking at your resume like the military type.
I see that you have A-10 background, you might try some of the Challenger Repair Stations or Bombardier Service Centers.....601/604 Challengers have CF34 engines.
GOOD LUCK!