Also airlines sometimes shy away from fighter jocks even though they have great flying experience and skill but some lack the CRM skills which are critical when flying in a operation where the roster is large and you are constantly flying with different people all the time. Tranport and multi crew military drivers generally have the advantage here.
I know lots of ex-fighter pilots who have great CRM skills and a few ex-transport pilots who are less than fun to work with. It's the man, not the machine.