Too many people here are far too focused on the problems or virtues of the
continuity concerns of a prequel, and are not considering the STORYTELLING portion.
For those wondering why new Trek keeps going back to the past, the article below sums it up quite clearly, if not succinctly:
science fiction isn't supposed to be about imagining the future, it's about imagine a future that reflects our present.
It's the same reason why producers chose to create the Cardassian/Bajor storyline to set DS9 in, and why they put Voyager in the Delta Quadrant. It's why they created the Dominion War, and Trek fandom was pretty split on that one, many feeling it "betrayed Gene's vision."
Because the universe of Trek post-Picard (specifically the Federation and Earth) had become too peaceful and happy to be of any real interest to today's audiences and became hard to be the sparkplug for the kinds of dramatic conflicts and social commentary that Trek is best at.
They'd pulled it off OK in TNG, but could only keep it up for so long before the stories all started to feel the same: crew lands on a planet with a 20th century problem that the Federation had already solved, and the characters used their history books to impart a lesson on this culture-- "we don't have this problem anymore on Earth because we realized X,Y,Z. Problem solved." It got old and stale to tell that same basic story over and over again. And then again and again and again.
It's also why they went with Enterprise, a prequel set in the more turbulent pre-Kirk days, and why they're doing so again with Discovery. During these periods humanity is still figuring itself out and hasn't solved all of it's problems yet. There is still internal conflict among humans, there's still war, racism, political struggle, and loads of other issues we struggle with in the real world.
Eventually they'll have to explore the era post Nemesis, and will have to figure out how deconstruct the Trek concept. Maybe next series...
http://arstechnica.com/staff/2016/08/why-does-the-star-trek-franchise-keep-returning-to-its-origins/