I posted this in another thread but here is an interview with Akiva Goldsman and he more specifically says he/they "will deviate/re-write canon if they believe it will get them a good story" so trying to match what you see in SNW with TOS isn't really possible, IMHO. SNW already deviates so just enjoy them both as separate histories with different versions of the Gorn. 
https://www.metacritic.com/news/sta...2-finale-guest-star-canon-strange-new-worlds/

https://www.metacritic.com/news/sta...2-finale-guest-star-canon-strange-new-worlds/
"Fans have really loved the consistency of canon over the course of the Star Trek franchise. I know that can be both a boon for story ideas and character development, and can also be kind of an anchor for storytellers in your position. So, how do you approach it now, especially given that you're bringing in some characters from Kirk's Enterprise and some that have allusions to characters such as Khan?
We love canon. We try very hard to adhere to it, and yet we probably won't destroy a really good story over it. We'll try to body English around it, but fundamentally the spirit of canon is, to us, more important than the letter of the law.
I know that sounds vaguely like an excuse. And in fairness, we really do try very hard to stick to it, but now and then we deviate. And we do it because we thought about it and we believe that we're better off attempting to rewrite canon, which I know sounds sacrilegious, but canon was an accident. When they made "The Cage," they weren't like, "And then we'll cut it into two parts and make it 'The Menagerie' and Star Trek backstory is born!" That was not the purpose. It's a lot of people like us and people who will come after us who will hopefully do their best to stick with what we did and then don't be slaves to it if it gets in their way. "
We love canon. We try very hard to adhere to it, and yet we probably won't destroy a really good story over it. We'll try to body English around it, but fundamentally the spirit of canon is, to us, more important than the letter of the law.
I know that sounds vaguely like an excuse. And in fairness, we really do try very hard to stick to it, but now and then we deviate. And we do it because we thought about it and we believe that we're better off attempting to rewrite canon, which I know sounds sacrilegious, but canon was an accident. When they made "The Cage," they weren't like, "And then we'll cut it into two parts and make it 'The Menagerie' and Star Trek backstory is born!" That was not the purpose. It's a lot of people like us and people who will come after us who will hopefully do their best to stick with what we did and then don't be slaves to it if it gets in their way. "