Especially if they plan to return to the 23rd century. Hanging out in the "real" far future for a long time would pretty much preclude coming back and pretending nothing happened, I would think. You'd need to find a reason why they can't bring a bunch of tech and future-altering info with them. The easiest way would be to establish an apocalyptic future that won't exist.
Alternately, if they go to the trouble of creating the "real" 28th century, from designing ships and building sets, I could see the show staying there. It would solve the spore drive problem, anyway. So if the future is bombed-out and looks like a quarry, odds are good it's temporary, and if it looks like a reboot, it probably is.