Yes, several stories in the documentary point to that kind of thing. Abused children being further abused when they reacted to the abuse.
David's case is different, and in a minority, but not completely atypical. He didn't have any behavior problems at home, at school, or elsewhere. No interaction with the the law, straight-A student excelling in a extracurriculars, admired by his peers, liked by school staff.
But because he told his parents that he did not share their religious values or their views about homosexuality, they were able to literally have him kidnapped and tortured.
Maybe this is the scariest aspect of the "troubled-teen" industry? That any teen can be declared troubled, even if they're doing great and they're only 6 months from being a legal adult?
But I think about my foster son who was genuinely troubled and acting out when my partner and I took him in. Love and patience worked miracles for him. I'm sure a brutal disciplinary camp would have destroyed him.