When there has been so very much official and unofficial Trek written, over the course of such a long time, it is hard to know how much of one's interpretation of a character is derived from the performance/writing and how much has devolved culturally. However, I've always taken at face value the lines in TOS about Kirk having been a very serious young student (Shore Leave), and McCoy's skepticism that Kirk was ever the "love 'em and leave 'em" type (Turnabout Intruder).
Over the decades, the Kirk character got that reputation (especially in comparison to Stewart's style as Picard), but he wasn't much of a rule-breaker, and never a cad, in TOS.
AbramsTrek's Kirk feels like the incarnation of Kirk's reputation rather than the character presented in TOS.
I think this is probably true but then again there was that incident with the Kobayashi Maru.