To me, character/team advocation happens when a player does something (socially/mechanically/in-game) that is supposed to advance the character's/team's goals. I'm lumping character and team advocation together, because I think the dynamic is so similar in both.
It feels to me like even the games that are not supposed to have character/team advocation as a focus often drift into this direction. Sometimes I feel like I'm in a competition even when the focus of the game is supposed to be dramatic. I think it's a combination of my own insecurity issues (?), the game mechanics supporting character/team advocation and players identifying with and rooting for their characters.
What games do you think discourage character/team advocation, or at least don't encourage it? Do you think character advocation is a useful tool in RPGs? Personally, I'm tired of it and wish games didn't encourage it so much, but I'm not sure if I'm looking at the issue clearly.