The problem is, that these "institutions" are allowed to exist.
This might give parents the impression that they are kind of legit. The same people who psychologically torture the children probably will have great stories to tell to the parents, perhaps even other people are telling the parents, that these "institutions" are a great and good thing. The parents even might be pressured themselves by a community they belong to into this decision. And of course the true nature of these places is kept hidden.
Yes, submitting your child to abduction is obviously a total failure as being parents, but never underestimate the influence the environment can have onto your judgement. This applies to the children at the camps who get turned into tornmentors, this applies to the parents who might think it is a good idea to send their children there.
A few years ago, I might have considered all of this impossible, but recent years have shown me, how far off the judgement of people can be, considering the bubbles they are in. And I don't think these bubbles are an invention of the internet, though the internet is very influential in creating new ones. But the long history of these facilities show, these bubbles are nothing new. Especially if this thinking is influenced by the religious communities they are part of.
If people can be convinced that drinking bleach is good for their health, I am sure, some might buy into the lies about the benefit of those facilities. That doesn't take any bit of resposibility from the parents, but puts an equal amount of responsibility on the public to not allow these things to exist in the first place and to prosecute anyone involved in this.