@jak thats one way to look at it i guess. i'd like to think of it as this;
she didn't exactly wished for menhera to rely on her nor she wanted for menhera's depression to persist for that end. her exact wish is the keep being friend with menhera even after she healed off the depression. that was shown on the ending of the chapter. unfortunately their friendship revolves too much around menhera's depression and reliance toward her about it that she started to assume that menhera only keep her as friend due to menhera's need of peer support to deal with her mental affliction. with menhera began to be getting better, byoujaku attribute that progress to kenkou as menhera's attention shift a lot toward him, not knowing she was the reason menhera even try to better herself, thinking that she will lose her place as menhera friend in due time.
of course that was just all in her mind; she didn't realize that menhera consider her with more importance than what she would imagine she would worth to her.