TOS can't even decide if there was a nuclear war on Earth or not.
Stuff from the writer's guide doesn't count.
This is true. As noted in passing uptopic, TOS even contradicted itself by a matter of three centuries or so as to when it took place - so an argument about Kirk's age as asserted (rather than shown on TOS) is meaningless as a matter of fidelity to continuity.
Trek canon is rife with internal contradictions. "Canon" is not a word that means "consistent."