No. I liked how Lee's character eventually developed to BE the leader. Even though it was not set in stone, I feel as if Lee became leader as soon as Lilly left the group.
Having said that, I don't want the protagonist in the second season to be the leader of the group AT ALL. We've seen Rick and Lee be leaders, so I think that the protagonist should be someone different: someone who has an active role in the group, but not the actual leader. (Like episodes 1-2 Lee.)