@ Robert D. Robot
Indeed, a concise "Starship Class" serves all interests (no bloody A, B, C or D and no Constitution or Enterprise Class).
Yes, "Enterprise Class" was a label on the bridge simulator door.
Andrew Probert felt that because of Commander Decker's "This is a totally new Enterprise"
the registry number should have started with 18 and the ship would be Enterprise Class. When it came to Star Trek VI DP Nicholas Meyer may have gotten second thoughts ("Constitution" whiteprint).
Come to think of it, I wondered how it's rationalized now that TOS-R had established NCC registries starting with 16 for Intrepid, Excalibur
got her 1657 in Star Trek VI), three ships had already been visualized as relatives of the Enterprise
These obviously don't belong to a Constitution Class where the Constitution
supposedly is NCC-1700
The correct registry for the USS Constitution
would then be NCC-1601 (according to Jefferies Rule) and we'd have 8 known starships of the 16th Federation Design (Constitution Class).
In comparison we'd have 7 known starships of the 17th Federation Design (Enterprise Class).
(Where to put USS Constellation
NCC-1017(-A) I leave this open to imagination).
The beauty of this positive Retcon Maneuver:
1) Jefferies Rule has been reconstituted
2) Numbers make perfect sense
3) "Constitution Class" is a colloquialism in the broader sense: If you start with this class, have the next design to be indiscernible from the outside (Enterprise Class), then have a refit transformation beginning with USS Constitution
that will also include previous Enterprise Class Starships which then will equally end up as (new) Constitution Class Starships, I wouldn't find fault that the majority of fans refer to these vessels just as "Constitution Class Starships".
Of course, the erroneous "NCC-1700" for the USS Constitution
would have to receive a proper military burial...