Everything connecting is not something I'm really interested in for the simple fact that I don't remember every detail of a show. I have alot of different interests and my brain has to jumble all that on top of life. Just tell good stories. If there's reason to connect things, then fine.. I haven't watched much of the new trek (because my trek fandom started late and I'm more interested in the old series) but I watched Strange New Worlds, really liked it and I didn't have to feel like I had to have seen the Discovery parts because it was explained why it mattered to the story in the first ep.
I'm also not bothered by changing races of people, or pushing Women as more important to a time period than just info dumps that look cute on the bridge. A show from the 60s (that I adore) has flaws that a show made today can fix. That said, When I heard of Discovery, and I saw that Burnham was going to be related to Spock, I rolled my eyes. Felt very Star wars.. and unnecessary but again, its not that big of a deal because if they tell good stories, it doesn't really matter and plus, I don't try to say shows from 50 years ago perfectly align, the only ones that should reach that are the ones being made today, but they aren't all doing the same thing so it can be a little awkward..
Anyway, like what you like but I wouldn't get too wrapped up in changes from a different era of trek. Just causes headaches.