Star Trek ship registries don't make sense. They're not consecutive. Constellation had registry of NCC-1017 and it's an obvious Connie. You cannot conclude things from registries.
I wouldn't say they don't make any sense at all; I'd rather say that Starfleet has a registry scheme the logic of which we simply aren't aware of. There are times when it seems registries are consecutive (mostly registries after 7XXXX), and then there are times when it seems they aren't (2XXXX for the Ambassador and 4XXXX for the Excelsior when the former class is clearly newer).
Not remotely true? So I read something from an alternate timeline?
It's been years, so I'm not sure where it was, but I know I remember seeing something in print - not online - where Roddenberry said No Vulcans in the main cast, and no Connie, just to keep TNG separate. Whether that was followed or not, doesn't mean he never said or intended it.
My apologies; I should have been clearer. What I meant to say was that while it's entirely possible that Gene didn't want to see Connies in TNG, what he wanted and what the people setting the budget wanted were two entirely different things. We were super-close to getting a Connie for Picard's Stargazer simply because the budget didn't allow for a new ship model, and Gene would have had zero say about it.