Answer by Thomas Zerbarini:
Yes! Pilots are notoriously competitive. We are also highly motivated to learn and observe.
I personally critique to myself how other pilots fly, meet and greet passengers and handle the entire realm of a flight. After all, the captain sets the tone to the cockpit and somewhat the cabin (Flight Attendants have more influence on a passengers cabin experience that the pilots.) I have learned a tremendous amount of things simply by observing others.
Here's an example. When I was a junior first officer at my first airline, I had a captain that was so smooth on the controls and so polite to the passengers, it was inspiring. His techniques became a game between the tow of us–who could fly smoother and more accurate than the other. It was a blast. This was on a small turboprop airliner with no autopilot (we hand flew all the time.) The competitive spirit sharpened our skills.
So, yes we sure do mentally critique each other.