Any follow on from the current new continuity will/should do its own Next Generation (possibly one that is actually a Next Generation, not 100 years on). They might cherrypick characters from the original TNG/DS9/Voyager, but to do a direct copy of any sort... I doubt it.
I could more see a post-Pine/Quinto series/film series about Captain Uhura (or Chekov or Sulu or...), with a junior officer called Picard, and an artificial lifeform called Data, and a 'First Klingon Since The Alliance' character called Worf. That sort of thing.