Ultimately I think if they make the type of show I'm looking for (which is to say, TOS/TNG/VGR style standalone adventures), the setting is largely cosmetic, since it's all just a deliberately-vague wrapper for sci-fi adventure stories.
The 23rd century's main appeal is that it's got somewhat more defined aesthetics than the 24th - the vivid uniforms, bright orange doors, planets that look like they're from pulp magazine covers, etc. For a franchise looking to reaffirm its identity after a period of arguably-failed experimentation, it's the obvious place to go to, since it's what most of the public will recognise - you get a captain in a gold uniform standing alongside two redshirts on a weird planet with a violet sky and people think "yep, that's Star Trek".
I'm guessing this is what Skydance might be thinking, given some of what they've said so far.