Must really suck being a City fan, no one takes you serious as a rival and not even in your own city, United cheering them to beat the RS to the title, and the RS fans cheering City to beat United to title. They are like Torino, Espanyol, 1860 Munich where the other team in the city they share has a bigger rival who they hate more in another city.
I mean, United sing songs about them most weeks, and have had to watch them rack up title after title, so I would imagine there is a fair bit of rivalry. It's a bit silly to compare City to 1860 Munich or Espanyol.
As for hoping City beat Liverpool, I think it's more that the more majority of football can objectively see Liverpool and their fans are a racist club with a rancid racist fanbase, very much like Millwall. I'd say it's more a comment on that, the continual jibes about the Munich disaster, the racist abuse of Patrice Evra etc that have motivated such sentiment, as opposed to any percieved lack rivalry with City. Didn't United have that "only racists walk alone" banner as well?