Someone might have brought this up before, but I noticed it just now while looking at the pictures of the demo from PokéBeach. In every shot that is outside of battle, the bottom screen has the Pokémon-Amie logo on it. For some reason I thought the bottom screen was for the PSS (?), but apparently I was wrong, unless this is a "just for the demo"-sort of thing. In one of the videos we also saw Froakie's menu sprite jumping up and down on the bottom screen while the player character was walking around. Again, this might be old news, but I thought it's kinda interesting that the Pokémon-Amie is such a major feature that it's basically there all the time for us to use.
PSS, Pokemon Amie and Super Training will all be on the bottom screen in the actual game, I think PSS is default and then Pokemon Amie was the only one for the Demo.