What continuity problems does SNW REALLY have to deal with? There are certain alien races that you might not want to run into because we've seen the "first encounter" elsewhere. But who are the audience (or the writers) just really champing at the bit to show? Do we need a Ferengi episode THAT bad? Trill? No, you can't do Romulan episodes. Deal with it.
But they decided to do the Gorn. Fine. But why the Gorn? They're not very reminiscent of TOS. Couldn't there have been another reptilian race? We'll never hear of them again, but then we barely ever heard of the Gorn again.
Characters: Pike. It's his ship. And he's why we're making the show. Spock: Kind of the same deal with Pike. Number One: More of the same.
Spock, we know a little bit about. But not THAT much. Unless you pull other characters out of TOS, you shouldn't have much to run into. Pike, almost nothing. Number One, even less. Hell, give her a name.
THEN we get into "Star Trek canon is so CONSTRICTING. It keeps us from telling good STORIES. So lets grab a bunch of characters that the audience has no expectation to see, won't act or look like their predecessors, and then be affronted when people notice."
M'Benga: Doesn't look or act like the fellow from TOS. But they're both black. There couldn't be TWO black doctors on the Enterprise, right? Great character and if they'd just given him a different name, who would care?
Chapel: Pretty much the same as M'Benga. There is nothing tying these characters together other than a name. And a relationship with Spock. Would this character lose anything by not being a legacy character? And again, there's like TWO things to know about Christine Chapel: She went into space to find her fiance and she has an unrequited relationship with Spock. Those shouldn't be TOO hard to avoid, right? Oh. We're shipping the hell out of her and Spock? Hmm.
Uhura: Oddly, the least "canon-y" problematic of the existing crew. There really isn't anything to avoid, is there? And it's fun to see her be awesome. Other than maybe...
Sam Kirk: It would actually be kind of cool to have had Sam, if we didn't have three other characters who seemed rather unaffected by his death if they had been close shipmates. It would have been fine if it was just Spock, I suppose.
And finally: James Tiberius Kirk. Why is he going to be on this show? It might be awesome. It might not be. But we have a whole new show that's about "Before Kirk". Why are we adding Kirk? Again, this isn't "complicated" or "convoluted" continuity. You have to watch ONE episode to know everything about Kirk and Pike. They met once. Which isn't hard to avoid unless you REALLLLLLLY want Kirk on your show. (Again, it might be a lot of fun. But I bet there were other fun things they could have done.)
They had a whole ship to cast, and out of the main characters NOT from TOS they gave us La'an, Erica, and Hemmer (a little bit).
Lengthy post, but the point is that the writers are complaining about problems with CANON. (Or even just continuity.) Most of their conflicts are their own problem. They can tell all the stories they want to. They just can't use the same names. Why was that so hard.
Did anyone say "They're making a Pike show? That might be OK, but I REALLY wish they could add Nurse Chapel!"
(Admission against interest: Christine is my second favorite character after Pike.) (Maybe not so much against interest: If she was anything like the original Chapel she wouldn't be my second favorite character.)
This is my second favorite Star Trek show ever, but to hear the writers / show runners complaining about how hard continuity is feels a little disingenuous.