Yea exactly and Reliant was a light cruiser class anyway so, if that more advanced looking ship we see crashing into SF bay is indeed Cumberbatch's ship then i hope it is Excelsior or Lexington,Yorktown,Lakota,Constitution etc.
Wait, Excelsior came later did it not? It was only a prototype ship in Trek III and thats later in Kirk's life than we're at in these films.