The Kobayashi Maru sequence is a perfect summation of everything wrong with Kelvin Kirk. He’s basically a fratboy. He just lies and cheats his way through problems by the seat of his pants with no forethought or consideration. Actual TOS Kirk is an incredibly smart, educated and thoughtful leader who constantly questions his own beliefs and motivations. He understands the burden and the cost of leadership, and always strives to meet that burden, and he truly believes in the Federations mission to be build a better world for all.
This is why I love Strange New Worlds. SMW Chris Pike is, genuinely, the best version of Kirk in any Star Trek. Smart, thoughtful, emotionally intelligent, cares deeply about his crew, but also funny and likable. And, when need be, kind of a badass.