I've always said that I think people who really "grew up" with the TNG era Star Trek struggle with changes to continuity or production the most.
I grew up seeing TOS first, and then watching all the changes that TMP brought about, and then more changes in TWOK, and then more changes with TNG. For me, the changes and inconsistencies are not only "normal" they are an expected part of the Trek experience.
Yep. And our generation has also seen umpteen other old favorites updated and tweaked over time; we're used to the idea that nothing is really set in stone and are accustomed to rolling with the punches. Klingons have ridges on their heads now? Okay, whatever. They're still the same Klingons I grew up watching, just with a bigger makeup budget. Spock has a sister? Okay, we didn't know he had a fiancee or a half-brother either. Learn something new every day.

At the risk of channeling my inner curmudgeon, is it just me or do modern audiences take this stuff way more literally than we used to back in my day? And why this extreme aversion to anything that might "knock them out of the story" by reminding them (gasp) that they're watching a show?
Of course it's a show. And sometimes, over the course of sixty years, you have to refresh the sets and costumes and stuff.