It's not usual for a Star Trek hero ship to have noticeable differences in design from shot to shot as they switch between different miniatures and CGI. But I think that the New Jersey model is different enough that fans were supposed to spot the changes and assume that it's a slightly different design to the Enterprise in-universe. Like how the NX-02 looks a little different to the NX-01.
The ship's close enough though and she looks pretty good in HD next to the other vessels!
The ship's close enough though and she looks pretty good in HD next to the other vessels!