It's too restrictive. Unless they're willing to ignore/disregard a lot of what ST has already done. In which case it might as well be another alternate universe.
I kinda wish we could all get over needing to designate between prime/secondary/new/whatever universe anyway. If that's the most (first) important detail in establishing the next ST, then they're probably trying too hard. It's also a detail general viewers won't be concerned about, and that kind of talk on the street would only confirm the new ST will be of the 'exclusive' variety.