One of the concepts for Kelvin (Back when it was still called the Iowa) was more TOS inspired
I like both that and the pretty similar comic version much more than what they actually used.
A bit like the SNW / DSC version of the Enterprise, I kinda just have to accept that they're all slightly different ways of portraying the same vessel. I just can't be bothered any more to do the mental gymnastics necessary to try to explain away the multitude of continuity glitches between different iterations of the same thing. It's all so fractured now that it's simply not worth the time and effort to try to rationalise everything. I would rather just hold the inconsistencies, accept the story as it is and move on.