Pretty much guaranteed, which means almost, but not completely in this case. The near guarantee in this case is not specific to LiL at all, but is instead because of the genre of the game. Remember that this is a Denpa game, like Doki Doki Literature Club, as stated by Selebus, a core feature of which is a plot that gets dark and rarely goes back. I am most definitely not talking about Chika specifically, there's been something brewing in the shadows and this will affect the entire cast when whatever it is hits. As for how Chika can't see that she is not his only girl, she's naive, too naive for her own good. She thinks that he couldn't possibly do something like cheat on her and it could very easily come back to hurt her, badly.This seems like a plausible plot point, but why is it guaranteed? Selebus is keeping his story pretty close to the vest, right? Is it a guarantee that all the girls will end up miserable and depressed during the story? Or are you just taking about Chika specifically, since she loves Sensei and believes he is just focused on her (how can she not see the obvious?).
At the moment, I really don't see see Kirin, Uta, or Nodoka having long periods of depression. Perhaps a scene or two of emotional realism, based on unknown things that may have happened in their past, but seems in character for them to just brush off any discomfort.
Not many characters are showing signs yet and most of them don't suffer from any condition that could change that, but they could slip once whatever is brewing in the shadows, mostly hinted at through 'happy' scenes, comes out. The 'happy' scenes and the main events both serve as the main story of the game with the main events detailing how the cast is going about their lives and the 'happy' scenes hinting at the darker things yet to make an appearance.