The 'Enterprise class' probably refers to the refit. Was there any canon say on which constitution was refitted first? If not, then it must be the enterprise, to explain "enterprise class"
Or maybe it's grouped in with the "Avenger class" error, which applied to the Miranda types.
Edit:
I had the chance to fire up OP and play the CAI using this model. I'm impressed with the textures, but I find myself missing the red impulse glow, as well as that of the photon torpedo tubes. I also noticed that the primary hull's top 'forward' lamp light does not seem as wide as previously expressed in most other places.
An example is this screencap from WoK:
It also seems that the warp core crystal didn't seem to glow when I was running it ingame, but admittedly I didn't look too closely at that area.
Forgive me for nitpicking- I like your work, but I'd like to know why you chose to finish the model with these differences...
Once again, fantastic work.
And I thought this was one of the good screenies I took: