My personal interpretation would be that Jessica would eventually end up just like Kyrie since she would never actually be able to connect with Kanon (Episode 7 spoilers) since Kanon technically is Shannon simultaneously, per the official explanation, also falling in with Erika’s solution.
Jessica probably deeply lusted for Kanon although since her parents would disapprove, as apparently they would have many things in Jessica’s life, since even in Ep. 2 she admits that she can be herself when not in Rokkenjima Mansion. It’s probably as a result of all of these pressures that she kept all of her feelings under wraps. She also had to be tactful approaching Kanon, because if she veritably inundated him with her emotions she would sooner have him moving away rather than toward her, hence her apparent shyness. Ultimately, it’s a losing battle, since sooner or later she’d have to be honest with Kanon, and she’d have to run the risk of losing him. So in the intervening time it’s entirely possible she might obsess over him and the kind of life he might live like Kyrie felt for Rudolf during his marriage with Asumu.
Beatrice vs Natsuhi I think is more to do with the fact that their significant others are incapable of comprehending the love they hold for them, and misinterpret it and distance themselves from them, causing the two women even more grief inadvertently and making them feel unwanted or as hindrances. The Beatrice here, of course refers to Chick Beatrice.
(Episode 7 spoilers)
There’s another possible interpretation that Beatrice killed Natsuhi for vengeance, since Natsuhi basically ruined her life from the outset, or that both were trying to atone for their mistakes, Natsuhi for killing the maid that carried the child, and Beatrice for killing the entire Ushiromiya family. Of course, this takes into account that Chick Beatrice remembered her actions as the original Beatrice
There’s virtually no corroborating evidence for any of these theories, so different interpretations will no doubt exist.