Ch. 4 is out! Someone please translate it and post it here <3
As for the imbalanced relationship... From what I see, Chiru's incompetency in doing household chores is understandable cause she's an Ojou-sama that hasn't needed to do anything for herself. But she is trying, and I respect her for it.
Ch. 4 reveals Senri's past, and I really don't think the relationship is imbalanced at all after reading that chapter. Senri may seem like the reliable one, but she has her fragile moments, and while it may seem like Chiru isn't contributing much to their relationship, she is lending Senri strength by staying by her side and supporting her. The accepting love and support are not tangible products that can be evaluated like a meal or new clothes, but don't underestimate the power that are brought when you know and feel that you are loved! :D
As a certain Wise Wolf once said: "Loneliness can cause death." And I know she's grateful for that someone that came into her life and journeyed with her through both hardships and happiness.