fuuta's haircut for amane & why she kept it
... a serious but lighthearted theory + character analysis.
Fuuta himself had been ashamed of the haircut. He knew that it looked unkempt, wasn't well thought-out, and had been uneven. For a child whose whole life had been controlled by her parents, Amane must have been used to her haircuts being proper.
However, so far, nothing in Fuuta's interrogation questions indicate that Amane punished Fuuta for messing up.
Q14: Do you forgive Amane's actions?
F: I understand what you want to say. But I alone will forgive her. Even if she's wrong, I'll still forgive her
Q18: What does Amane mean to you?
F: Well, I wonder. It's not something that I can say in a few words. She was salvation, at least.
Q19: Do you truly believe in Amane's doctrine?
F: Believing in it or not, it doesn't matter. Still, I have to believe, I will not let that person be on her own.
It's possible that Fuuta was scolded, yet based on Amane's MV it's unfit to say she consciously hated his attempt.
Importantly, Amane stayed with this haircut even in her MV. She wears it as the factory operator and she's controlling a toy factory that produces toys in her likeness:
Her T1 MV magical girl uniform
Her T3 Milgram uniform and Fuuta's haircut design (with the surprise addition of Fuuta's eyepatch)
Given that prisoner MVs are metaphors for their psyche, this can imply that there's a part of Amane who identifies with the haircut Fuuta gave her. Somehow, it is given the same identification has all her other 'selves'.
The reason is simple: She has had her whole life controlled for her. Fuuta's botched haircut is likely the first time she's ever had her hair messed up that badly.
In Amane's T3 Voice Drama, Es notices that she's had uncertainties about her religion + parents' practices for a long time. So, long before her T3 MV, Amane has harbored doubts about her controlled life. Her coping mechanism is typically to stifle her emotions, but her doubts were there regardless.
That's why Fuuta's haircut stays with her in the MV. He may have done it wrong, but he was also her first follower + supporter outside of her parents. She's the operator behind the toy factory—in charge of controlling her own life for once—and having an imperfect haircut from someone she saved was an extension of that.
Something as small and funny as a botched haircut was emotionally significant, whether she consciously admits it or not.