I'd also add, the same state doesn't mean anything in regards to regional pride. Some cities have such a rivalry that they would never pull for the other city's team.
Plus there's the whole being able to attend a game thing. You're more connected to a team you invest money in and can attend games regularly. Sacramento citizens aren't traveling many hours to watch a game in LA. It's like driving down to Orlando just to watch a game. There's just less of a connection if its not your community, doesn't matter if its the same state.
Hell, even the same city. If New York lost the Mets, I guarantee those fans aren't gonna pull for the Yankees. Same with cubs and white sox fans. Even within 8 miles, if Carolina ever disappeared from earth (stop dreaming abc'ers), you would never find a true UNC fan then pulling for dook, just because they are right there.