I'd be fine with using a model for a Connie that makes more sense as a base for the "refit" shown in TMP. Because the TOS Connie never did - TMP looks like they completely rebuilt the ship, not performed a refit.
But then, I'd also be fine with the original design, or with the design that
@Captain of the USS Averof shared a few posts ago. I'd be okay with it if they used the Mega Bloks NCC-1701 and I could see someone's hand on it to move it around while they made appropriate "special effects" noises with their mouth. I'm not hard to please
as long as the stories are good. I'd only get irritated - and probably VERY irritated - if they used something that was supposed to be a Connie that definitely is not (like, say, a Defiant-class) or if they dramatically violated canon *in dialog* ("Those Constitution-class ships carry 1500 crewpeople and all have cloaking devices.")