The highlighted sections get to my point though that you're more willing to forgive or explain such inconsistencies or deliberate changes in a show that you love versus one that you don't or merely tolerate.
I think the highlighted sections demonstrate that I'm more willing to forgive or explain such (minor, unavoidable) inconsistencies in a property that's brand new and just finding its footing, than I am to forgive comparable (often larger, and avoidable or deliberate) inconsistencies in a property that already has a well-established and easily researched backstory. That hardly seems like an unreasonable distinction or any sort of double-standard. Yes, I love TOS in a way that I don't love DSC, for reasons that go far beyond continuity, but that really has no bearing on this.
It seems odd to give the inconsistencies caused by the growing pains in the first twelve episodes of TOS a pass, but not extend the same courtesy to Discovery for its first batch of eps, especially given all the behind-the-scenes drama with departing and chaotic showrunners (Fuller and the others) and so forth.
I think the distinction above (brand-new thing vs. minor expansion on existing thing) is important here. That said, I
have given DSC something of a pass so far, not least because of all the creative turmoil. If I were judging it strictly on its own merits as a new show, independent of previous Trek, and without regard to behind-the-scenes info, I would have thrown in the towel on it after the Lorca heel turn in episode 13, which was a truly hideously bad shark-jumping episode. Criticizing it doesn't mean I've given up on it. It means I still care enough to give a damn and not be
indifferent to it.
It's just strange to me to act (not you personally, just in general) like the keepers of the Holy Scripture of the Lord R. Goddenberry which is unerring and internally consistent with itself and across multiple iterations and additions, except for all those times where it wasn't. Just admit that it comes down to personal preference of which show you like better...
False dichotomy. I've never been a Roddenberry worshipper (nor do I think most of us kibitzing about continuity are)... nor do I think Trek continuity (or any fictional continuity) has ever been unerringly perfect, or could be, as I've posted repeatedly. That does
not mean it's all just a matter of arbitrary and subjective personal preference and there are no reasonable standards of consistency worth upholding.
As to why it matters to call it the Prime Universe, as said, it's to differentiate it from the ongoing Kelvinverse films so there's no expectation that the storylines need to match up...
I don't follow the reasoning there. There are only two Star Trek universes (notwithstanding the MU and "Parallels" and etc. etc.)... the one from the last three movies and the one from all the other Star Trek ever, including every TV show. Why would anyone think viewers would
expect a new TV show to tie in to those movies to an extent that makes it worth the trouble of dispelling? Or that, having dispelled that option, viewers
wouldn't logically expect it to match up with the other one?...
and it's to provide a framework for fans to know that this takes place in the same general continuity as TOS/TAS/TNG/DS9/VOY/ENT and the first ten movies...
There is no such thing as a "general continuity." Either you have a continuity or you don't. It's the details that matter. If you restrict yourself only to broad strokes, as has already been mentioned, then the Adam West Batman is the same as the Tim Burton version and the Christopher Nolan version... but no sane person would suggest that those share a continuity.
It will be "inspired by in-universe events" like a Hollywood historical drama...
Then that's an adaptation (like all the versions of Batman just mentioned),
not a continuation or expansion of the original continuity. (But this is really just you speculating... the producers haven't said anything like that, they've said repeatedly that they're adhering to what's established much more carefully than that. The frustration here is that what they've
done doesn't live up to what they've said.)