Quite so - although of course that wall relief (coarsely) represented Probert's ship, not Sternbach's.
And since the relief didn't match the onscreen E-C, nor did any of the ships match the E-B (and even the aircraft carrier looked different from what we know the Enterprise
CVN-65 looked like in ST4), there is little "proof" for the idea that these ships were intended to be Enterprises
. For all we know, the art represented ships named Galaxy
- or, say, ships with a relative of the originally intended Captain Thomas Holloway in command, and Picard never had the heart to have the work ripped off the wall and replaced with something more personal...