When I'm talking about the crew I'm including the ship. It's not like they plucked them off the Enterprise and put them on another ship or put a different crew aboard the Big E. For whatever reason, having something special about a particular ship and crew just feels wrong to me. But then, I'm not a fan of the whole "absolute best crew in the fleet bar none. Everyone else pales in comparison." thing about Kirk & company doesn't work for me. Even in cases where other Constitution class ships have been destroyed (Defiant, Intrepid, Constellation) the Enterprise crew knew that something had happened to them. They had more information going in than the first ships did. That made the difference.