Yes, the 23rd century is our future, but for Star Trek it's their past.Dude, did you know that the 23rd century is actually the future? We're only up to the 21st.
The 25th and 32nd is their future.

Yep, that's what I'm talking about it. They have to make stuff fit when you're doing a prequel series.I mean, Uhura and Chapel knowing who T’Pring is already clashing with continuity.
Now will they lose their memories of T’Pring in a future episode of SNW? Or will the writers use it to further establish the Discoverse? Only the writers know. I’d personally just establish the Discoverse, but that's just me.
In the 25th and the 32nd century they can do whatever they want.
Yep, that's what I'm saying, you're filling in the blanks. Be it up to 1966 or 1987 or whenever.Not true. I can think of stories that connect SNW to TAS, TNG S1 & S2, DIS S3 & S4, and can build off of DIS S1 and S2. I can think of a reverse “Trials and Tribbl-ations” involving the TNG crew on Pike’s Enterprise. I can even think of a retcon regarding the Earth-Romulan War that still respect Spock;s claim that the conflict was fought ship to ship, but also opens up that there were a bunch of ground battle and black ops going on at the time too and only Pike, Una & April know about it.
You're not really breaking any new ground. You're, again, filling in things that weren't up until then told.
Yes, it's a way to do things, but... eh.
Yep, that's the thing. They (Alex Kurtzman) are apparently in a place where they can't do everything that they may want to do, they have to pick and choose now.25th century answers all the lingering questions from '90s Trek. Once that concludes, they could jump ahead 150 years to the 26th century and the Ent-J. And the Ent-J doesn’t even have to stay in our galaxy. They could journey to the Andromeda galaxy or another nearby galaxy. It, of course. retcons DIS S4 in crossing the galactic barrier. But that does not feel like a big deal to me.
I don’t think there’s anything wrong with exploring the 32nd century either. But if they give it a break, they’ll be able to resume at the start of the 33rd century and explore that century.
Because I imagine they wouldn't mind doing that Star Trek: Legacy idea, and another season or two of Discovery. And the academy show to tie in with Discovery. And a few seasons of a Section 31 show with Michelle Yeoh. Although, she may not want to be tied down to a TV series right now. Also, that Star Trek: Khan: Ceti Alpha V scripted podcast... I'm sure they'd like to do that as a live-action mini series but I'm guessing that the money just isn't there.
So they have to choose, and again, this is apparently what Alex Kurtzman wants to do. And Discovery is his thing, so things that tie into that is what gets made.
If there were a "The Next Generation guy" in charge, we'd probably be getting something different.