When I played a game with my friends, everyone’s town center monument didn’t display properly. Instead, when looking at a person’s profile in-game, everyone saw that the monument that that player had selected was the same as the one I had selected.
For example, I have HRE men-at-arms, and I see it as the monument under everyone’s player profile. My friend has the wolf monument, and likewise this is what shows up for him as everyone else’s monument.
I am not sure if the problem carries over in-game, but it does occur in lobbies.