It takes a person of conscience to write a story with conscience. It takes a person of wisdom to write a story of wisdom. The people in charge of NuTrek have none of these things. You assume they're trying to create a story where Kirk "learns" - they're not - they're producing cheap entertainment with a side of "progressive" propaganda. In ST:Beyond they said they were going to be focused on Kirk separate from Spock and McCoy - but they were going to throw McCoy and Spock together. Probably for a cheap laugh and nothing else.
This scene explains all you need to know about the Abrams production team - note how they just throw it all out and jump to the action before they reach any sort of conclusion about the motives and behavior of Kirk during the Kobayashi Maru:
They reach no conclusions because the authors have nothing to say about it because they're empty headed people. The point of the Kobayashi Maru being introduced in Star Trek Wrath of Khan was foreshadowing of the no-win scenario Kirk faces at the end of WoK with the loss of Spock. And, a suggestion that Kirk will, somehow, "cheat his way out" of losing Spock as well. But neither the audience nor Kirk knows this at the end of WoK.