They would not have used a 3 year old movie model as the new ship. Especially not the Excelsior model, as vilified by fans as it was at the time.
Wait, the Excelsior was "vilified"? That wasn't my experience at the time. At all. I remember the design being quite popular. Lots of blueprints at conventions and the like.
The crew even used the Excelsior in the comics, didn't they? During the time between TSPS and TVH, when we didn't know there would be another Enterprise? And I don't remember anybody fussing when TNG started making extensive use of it.