Crazy theory: What if Lila (Cerise or whatever) is a sentibeing?
Lila collects mothers like Pokémon cards, but let's assume that Tomoe is her mother. For whatever reason, Tomoe couldn't or didn't want to have a biological child, hence Kagami being a sentibeing. If Lila was her daughter, there would be a chance that she too is a sentibeing. And maybe, when Tomoe created her, she wanted her to have some powers on her own. Or maybe botched the creation idk. That could be a reason why it's so easy for Lila to convince others to believe even in her most ridiculous stories.
And Tomoe is missing both of her eyes. One for each daughter. What do you need eyes for? To perceive. In Kagami's case, perceive perfection. In Lila's case, maybe just perceive. What does Lila want (in earlier seasons at least)? Attention. To be perceived, to be seen. And what is she? She is a chameleon; she cannot be perceived for what she really is.
What do you guys think?