I have a problem with the Kelvin timeline. Specifically how they depicted the Kobayashi Maru sequence. No, I don't care if Spock programmed it. My issue is that Kirk's behavior stank. He straight up cheated, but even worse, he was smug about it. That didn't show leadership potential at all. That was conduct unbecoming of an officer.

I'd always had it in my head that Kirk simply disagreed with the test philosophically. It's a simple scene to set up. Kobayashi Maru tests officers to see how they deal with a losing path in a simulation of a deterministic universe, but especially to reveal the quality of their character. But Kirk doesn't believe in fate. He believes in a quantum universe, where infinite possibilities spring from the vacuum every instant. In my mind, Kirk wouldn't simply reprogram the hostile ships' shields to drop at an exact moment, then just line up his shots. That's still determinism! Instead he would subtly reprogram the simulation to account for random chance, and depend upon his skill to beat the odds against whatever the scenario might throw at him. Examining his changes to the code would reveal not a spoiled rotten, cheating, nepotism brat, but a confident leader with a fundamental difference in personal philosophy for approaching the Universe, and furthermore, who simultaneously argued that the Kobayashi Maru was a flawed exercise, while generously offering a patch to improve it. That's captain material.

That scene would have made me lose all respect for Kirk if I regarded it as canon, so I can't. I would never follow a man like that into the unknown, no matter his supposed tactical brilliance. No disrespect to any of the actors. It's just bad writing. Beyond that, I've got no problem with Kelvin beyond minor quibbles.