I think this gets to the root of the matter - it's all very dependent on an individual's personal tolerance for what qualifies as an "important" inconsistency.
Absolutely. Ship, prop, set and costume designs matter to me, but not to everyone.
I guess that's one of the advantages of being a straight guy.

Janeway's bun/ponytail hybrid in the third season is several inches longer than the haircut she has in the fifth season. So she'd have to have cut it and regrown six (?) inches between episodes. But the Doctor
could stimulate the follicles to grow faster...
I don't see the connection to sexual orientation - but we know they can quickly grow hair, since Seven seemed to get her hair back quickly, and Worf's beard went on and off in Homeward, depending on whether he was in disguise or not
This is where I will completely disagree because things like this are not a linear progression, nor can there be no variation. One of the things that I completely appreciate regarding DSC is that it is being additive in some places regarding expanding design language. It is completely unreasonable, unrealistic even, to have a singular design language for an interstellar empire. Certainly not one like the Klingons who have their variety of Great Houses.
Sure, but that would mean that one house dominates all the Klingons we see during ENT, then another house with totally different ships, tech, uniforms, heads, hands dominates during DIS, then another one with again everything different takes over for TOS, and then the ENT one returns for TNG-VOY. And the 24 houses in DIS seem to have the same styles and designs. So do all the houses we see in TNG-VOY.
This. Though, what's more amusing to me is how much DSC gets taken to task for things that TMP and TNG did.
TMP was set after TOS, TNG was set after TMP and TOS
TMP was a 100 years later??? TNG made extensive use of the Klingon Uniforms from TMP. And most subsequent designs were based on them. And there is no way the Klingons could go from smooth heads to bump heads in the time between TOS and TMP. (Yes there is a late addition of the Augment virus)
TNG-VOY is about 100 years after TOS. TNG uniforms can be the same as TMP, why would that be a problem? Things staying the same is actually very consistent
They quickly went ridgeless in ENT, that virus spread quickly, why wouldn't they cure it quickly as well? And the progression of ridges throughout the movies towards TNG is actually quite logical with a trend to more elaborate, deeper, and broader ridges later. Compare Kruge and Chang in the early recovery years to Gowron and K'mpec after they've fully recovered.
The TNG uniforms were always shown to be concurrent with the VOY/DS9 ones. Characters from both shows wore them through out both series. Both disappeared from DS9 when the FC costumes were introduced. VOY stuck to them for "reasons".
Point is the uniform was never treated as something new.
There are entire threads about the ever morphing engineering set in the Trek Tech forum. Probably in the TOS forum too.
Why is a transition phase an issue? Over just a few years, one phased in, and another phased out. The TNG S1 version was still worn by lower ranks in later years, only the bridge officers got the new versions immediately. Back on Earth, SFC kept the old ones for a while, while new stations and ships got the new ones. Ships on long missions kept their old ones until they returned. It all makes perfect sense to me.
And you'd still be full it in that Okuda and those folks were JUST AS RESPONSIBLE for their own YATI additions over the years. Just because you like some of the more ridiculous rationalizations the Okudas came up with in their Star Trek Chronology doesn't make them any better for the fact that writers and the Okudas on occasion themselves would contradict what they had in their own Chronology.
Again, it's an utter fallacy on your part to think Star Trek uin general has had 'better' cohesion and consistency after TOS when IT HASN'T. It doesn't matter who's in charge in that IF they feel the need to ignore, change or disregard something established in a previous episode of film for the story they're currently telling - they will - and that was JUST AS PREVALENT in the TOS feature film era, The Berman and Braga era, the JJ Abrams films, and the current Kurtzman era.
What is YATI? The Chronology never was canon, never on screen, so it never had to fit.
What were the prevalent inconsistencies you're talking about?
It started with Roddenberry and TMP. He wanted to do more with the budget and the designs and he did so. And then Meyer came along with no Star Trek background before and did whatever he felt was important to the story.
And that's my thing-what is Star Trek about, what's the story it is telling? I'm sorry, but it isn't uniforms and phasers or design. It is about humanity's future, a future where humanity is working to become better than it was before, to embrace differences and diversity and not fear them.
I enjoy a good discussion regarding tech and uniforms, but there is a point where it seems to take away the actual enjoyment of the show.
Again, since TMP is after TOS, and WOK is after TMP, any changes are not inconsistent. What's so hard to understand there? XD
I remember only one time when I was actually furious about a story element: When the Vulcans had a spy base under the P'Jem monastery, and one of them attacked Archer after he exposed them. That was so extremely against everything we knew about Vulcans, and it really upset me back then. Just for the sake of shaking things up and telling new stories, they turned one of the most peaceful and logical cultures into mean, aggressive, hypocrite bad guys. But then Manny Coto et al. corrected and explained it nicely in S4, and I was happy with that arc. Actually ENT S4 might be the best of all seasons in the franchise.