If the Abrams films actually depicted my "old friends" from TOS, I probably would feel the same. During TOS I never got the feeling that Kirk was getting progressively more bored with his job during his first couple of years as captain.
Kirk was a complicated guy. Hence his, "no beach to walk on" coming to the surface during "The Naked Time". Plus, season one Kirk was really just Pike renamed. A character who also had questions about what he really wanted.
Kind of human nature to have doubts from time to time.