The big problem, IMO, is a lot of commercial pilots aren't taught the Basics to go back to. They learn the basics of hand flying a plane, true, but very few things like partial panel, pure IFR with only the basic instruments, unusual attitude recovery, and so so on. Most of their training is on how to push the right buttons, at the right times, on the right computer. Very little "stick-n-rudder" training.
What a lot of private pilots, not to mention military pilots, get taught is left out of a commercial pilot's training. Including the Aviate, Navigate, Communicate mantra, that every pilot should have drilled into him.
Now, if it's not covered on a checklist, they haven't the faintest idea what to do. What happens when the computer dies at 35,000', M0.8? What to do when the plane suddenly flips over for no apparent reason. What to do if, just for an example, the AOA system suddenly becomes totally unreliable...
I'd would rather by far have a military pilot moonlighting up in the cockpit!
Anywho, all just my opinion. My father was a Navy Flight Instructor in SNJ's, and went on to become a UAL pilot. He would just shake his head when he had to train up a new co-pilot they assigned to him. Almost none of the basics on how to control a plane that was doing odd things up in the air. A lot of them would freeze if the bank angle got to more than 30°. Scary...
Ok, shutting up now...
Pat☺