And, honestly, if we starting assuming that any serious changes in art direction means that we're throwing the entire continuity out with the bathwater . . . well, that way madness lies, IMO.
The castle and laboratory in SON OF FRANKENSTEIN (1939) look nothing like the castle and laboratory in the previous two Karloff movies, but never in my life have I ever seen anyone assert that SON is not a direct sequel to BRIDE OF FRANKENSTEIN (1935) or that Karloff is not playing the same Monster we saw created in the original 1931 FRANKENSTEIN.
And we know this because, well, the movie tells us so.
So, yeah, even though SON takes kinda a laisez-faire approach to continuity, and not just with regards to the geography, the audience understands that, yes, this is another sequel to FRANKENSTEIN, picking up after the events of BRIDE.
Just as the new Trek series have told us explicitly that, yes, this is same universe where Pike first met Vina on Talos VI, even if, yeah, the sets and costumes and SFX have gotten a new coat of paint.
Bottom line: Star Trek is theater, not non-fiction. Achieving the right dramatic effect is sometime more important than perfectly mimicking the specific details and minutiae of the previous productions.