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Change has always made Kairi anxious. When she sensed it in Riku at the beginning of KH1, even when Sora didn't, it made her nervous (not without good reason...).
But when she sees Riku had changed for the better, she accepts he'll always be Riku. Change is part of growing up.
Even at their lowest and most vulnerable, Riku and Sora hold faith in one another and lift each other up when the other has fallen—figuratively and literally.