Wait, a mirror of Homura and Madoka's relationship?
Homura is herself a much later version of Madoka - we learn her initial personality was much like Madoka's initial one, and that she was given strength by the confidence she perceived in that world's Madoka. Both her and Kyouko are trying to break the cycle to spare someone they think they can understand from the pain of becoming who they've become.
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EddyAntiStu