You haven’t said why it matters it was privately run.
It matters that it had private rooms, but there tend to be private areas in public spaces like parks too. The analogy actually works much better if the kid’s computer is in a public place and they don’t have unrestricted access to the internet through a phone - obviously in either case it’s harder to abuse someone in secret if you have to take the initial risk of meeting somewhere you could be spotted, and only then move it private.