Well, if you're going to get that fastidious with timelines/continuities in your Trek, you're almost getting to a point where every other scene would have to be a separate continuity. Every time they make some goof during production with the costumes from shot to shot, every time Beverly has a new hairstyle because a new season started between scenes, every time an actor slightly mispronounces the name of a character or species, every time the transporter process takes slightly longer than the last time …
I imagine it's going to get unnecessarily complicated real fast. Isn't it easier to just accept that these are multiple separate productions, made by a multitude of different groups of people, each with different ideas, strengths and viewpoints, created over a span of decades? Sure, they want you to accept that it's all happening in one connected universe. But in the end it's the individual stories that matter, not the details. As much fun as it can be examining them.
I think it depends on how you are looking at it. If you are looking at the stories separate from the verisimilitude, then yes, it can be all one thing. But that sets up a conundrum, since the people making Star Trek obviously think the setting is important enough to lavish money and time to redesign everything every few years. If it’s important enough to re design, isn’t the design itself important enough to maintain continuity? The penchant for redesigning seems then to be a victory of ego over aesthetics. The fan who lets design do its job of supporting verisimilitude is left then with, yeah, separate realities. Or, junk the whole thing.