I agree with C.E. A jump in time is what really worked for TNG, it allowed it to not be beholden to that continuity. DS9 used it to it's favour, but eventually you start to get diminishing returns because old fans might start to drift if they don't gel with the new direction, while for new fans it's too dense to get into. To make a new show work it really would need another time jump just to set itself free., and only have what came before being tangentially referenced. Cool nods to existing fans, but nothing that gets in the way of watching.
Something like the Brian Singer pitch that never got made is a perfect example.