You're talking about (and misinterpreting) a much earlier stage of the process, when Fuller
wanted to do a seasonal anthology show in the vein of
American Horror Story. The first season/miniseries would've been about
Discovery in the pre-TOS era, then each subsequent story arc would've been about a different cast and premise at a later point in the timeline. It would've been the
show jumping forward from one cast to another, not a single ship jumping through time. Think of it as something like
The Lost Era in the novels, except spanning the whole Trek timeline from before TOS to after
Nemesis. But CBS wanted to do it as a more conventional continuing series instead. We did eventually get something like Fuller's original plan in the form of
Short Treks, with stories jumping around the timeline and "Calypso" being set a thousand years ahead or something.