It would have been a nice tip of the hat to TOS, but it just doesn't make any sense in the alternate timeline. It simply doesn't fit with the newly established ship design aesthetic that all the others possess, from Kelvin to Enterprise to Vengeance. I can see it having been on some designer's drafting table amongst a myriad other failed concepts, but I certainly can't see a studio-scale replica being built and looming ominously over a flag Admiral's office without seeing some indication that it might have been used in the fleet somewhere. This is especially considering all the "real" ships that we know have known to exist in that timeline (before and after the split) are nothing more than comparatively tiny desktop models behind him. Nothing about the picture makes any logical sense and, yes, it does look fake.