Thinking about it, I think the original Stargazer model overdid it on the rim-side greebles. Whereas the Reliant has a lot of greebling in the back trenches, they're out of the way and seem to be clustered in a specific spot while the rest of the design was streamlined. As most TMP ships are streamlined with little in the way of obtruding details (the Miranda being the exception, as stated above), the shooting model of the constellation feels out of place because of the odd details here and there (Saucer, brackets between nacelles).
My conspiracy senses tell me TNG's model builders used the Constellation to emphasize 'old and rickety' TMP ships in the TNG era. Good to see you're reversing this assumption with your re-texture
Honestly I wasn't sure if I would like your treatment of the Constellation or not (as it isn't a 'true' TMP design), but it's looking like my pessimistic presumptions have been proven wrong.