Well, Litchi's being affected differently than Arakune was, and I think that's giving Kokonoe hope (though it may just be false hope, we have yet to see). If I remember right, shouldn't Litchi actually have changed by now? I think it has something to do with Lao Jiu (Spelling?), since she got him from the Boundary.
EDIT: Also, Kokonoe didn't really seem to like Lotte from what we saw from Arakune's memories, but she cares about Litchi. It's nice to see Kokonoe try, but I don't want to see Kokonoe doing bad things because she is trying to save Litchi who is doing bad things trying to save Arakune... If that makes sense.