As to Peter's point, it is my belief that Orthodox from a Greek Catholic background think about them more than say Greeks or Russians because they know real Greek Catholics from their own families or old neighborhoods. Greeks and Russians seem to view Greek Catholics a either exotic oddities or something to be feared - until they run into real ones. .
This won't add much to the conversation, but that was exactly my experience until I walked into the Saint Joseph Ukrainian Catholic church in Chicago. I visited St. Joseph with my (Latin Catholic) friend and I told him that my Church and this Church had been at odds for centuries, which he apparently didn't know. But when I looked right into the presvytera/matushka's eyes, I knew that was a complete lie. When I actually walked into the church, which is sort of like a cross between a spaceship and traditional Byzantine architecture, I took everything back that I said ever said about Eastern Rite Catholicism.
You know might all be thinking, "what's this kid trying to accomplish with such an irrelevant statement?" Well, nothing, I just had no one to tell that to and I feel like it was a pretty significant moment and I wanted to share it with someone. I mean, what am I going to do, tell my practising Latin Catholic friends, "Hey guys, so I had a big moment today. I stop disliking Eastern Rite Catholicism, a branch of your Church you three have no idea about. I still kind of sort of deep-down roll my eyes at the rest of Catholicism, though, but baby steps, right?"