That's why you think the bad boy trope exists.
It's not why the bad boy trope exists.
That study is both flawed and biased.
The bad boy trope isn't even one thing. It's actually several, starting in grade school. It's an aesthetic as much as it is a behavior. Based off your profile picture, you could be labeled a bad boy, especially if you have tattoos to go with that shaved head and goatee.