With respect to attempts to challenge the reading of Kurtzman's statement, let me present one from ten years ago that demonstrates it to be correct.
Source: https://trekmovie.com/2008/09/19/orci-kurtzman-trek-very-true-to-canon-even-books/
So again, the issue is as I have presented it vis-à-vis continuity and canon.
Alex Kurtzman: We did a lot of reading of the books. I think we consider the books canon to a large degree so it’s very important to us to stay consistent. But there is a bit of a hole and there’s actually different mythologies about {Kirk & Spock's} history so it’s a matter of staying consistent but also figuring out how you can play around a little bit anchored by the rules
Source: https://trekmovie.com/2008/09/19/orci-kurtzman-trek-very-true-to-canon-even-books/
So again, the issue is as I have presented it vis-à-vis continuity and canon.