I do get the frustration at the inconsistency - they've even mixed DSC with clips of things like The Cage (and archive material has shown up elsewhere), yet the Enterprise looks different - plus the actors and the uniforms!
That's just theater. There's a difference between the story being told and the superficial interpretation of the story being told. We accept that Kirstie Alley and Robin Curtis are playing the same Saavik, that Jeffrey Hunter and Anson Mount are playing the same Pike. I don't see why it should be any harder to accept that two different studio sets are "playing" the same starship bridge. It's just different designers' interpretations of the same setting. If a dozen students in an art class paint the same model, every painting will look different, but as observers, we understand that it's still the same model, and only the artistic interpretation differs. The sets and costumes and actors are not the story. They're just the presentation of the story.
CBS seem to insist that DSC/SNW is Prime Timeline, yet a lot of fans, myself included, think that SNW should juat be a new universe.
People in 1979-82 thought that about the movies. People in 1987 thought that about TNG. And so on. It's always the same old tired arguments. Comics journalist Brian Cronin calls it "chronological privilege." We're more accepting of the inconsistencies that existed before our time than of the ones that come along after we've formed our perception of the work. But it's an arbitrary double standard.
Especially when we know we're a couple of years from Kirk taking over (even though he's been in command for about a year by WNMHGB) I doubt everything will line up
My fear is that SNW will forget that, according to
The Making of Star Trek and "Where No Man Has Gone Before," the
Enterprise is not Kirk's first command. TMoST said his first command was a smaller, "destroyer-equivalent" vessel, and I'm hoping that SNW plans to make him captain of the
Farragut, since their design for it fits that description. After all, it makes no sense for Starfleet to give a
Constitution-class ship, one of its most powerful and important vessels, to a first-time captain. That was one of the most implausible things about the Kelvin Timeline.
Although SNW is probably already overwriting my novel
The Captain's Oath. TCO had Kirk take command of the
Sacagawea around March 2261, and "Wedding Bell Blues" takes place on the Federation centennial in 2261, which would be August 12 according to the novels, with other apocryphal sources suggesting May, June, or October of '61. (Though all are hard to reconcile with "Blues" being only 3 months after season 2, which was ambiguously in 2259/60.)