TOS: produced in the 60s.It's two different shows
SNW: produced in the 2020s.
The shit you say that they are different shows?

They can't not be. Even TNG gave us very different views on the TOS era and characters. Voyager treated it like the wild west, and Kirk became some kind of rule breaking thrill seeker.
It's almost like views on shows viewed through history are regarded differently.
Now, how to handle the differences?