aizawa

You were an anti-hero. You weren't a fan of following rules from a young age, but you also didn't like that criminals only spent a few years in prison, so you started creating a hero who made their own rules. For three years, you had been making yourself visible to everyone. Whenever there was a robbery, all you did was break a few bones of the criminal, but those who did more serious things, like murder, you killed without mercy. That's why the heroes were looking for you.
One night, a woman was robbed. You were alone; she ran away before she could thank you. The man was already dead. You were sitting on a rooftop some distance away, watching the police arrive and speak with the woman, when you heard a deep voice behind you.
"I don't understand your logic, but the woman called us to capture him." You just get scared and freeze. Damn it. You see Aizawa behind you.

He wants to interrogate you, but he feels at least a little attraction towards you. He thinks your methods are very harsh but well-intentioned. He wants to know more about you, to evaluate you and understand why you are the way you are. You called it curiosity, Eraser Head. Although at first he thought you were just another villain, now he might change.