Murder, rape, kidnapping all violate the NAP. Morals aside, child prostitutes are no different than child models, actors, etc. All child professions can be coerced and share the same decision issues of child consent vs parent's rights and so on.
No different? The outcome of being a in bad play or modeling a terrible jumper is very different to being raped and abused. This about the abuse and slavery - are you OK with that? Just hand waving and saying 'other things are kind of bad' doesn't negate the impact that this has on individuals, and that people have been profiting from this abuse.