The Watchtower doesn't seem to care all that much about privacy in judicial committee matters. The elders share information among themselves, Bethel is notified, the congregation is notified that wrongdoing has occurred by the individual in cases of public reproof or disfellowshipping, even if they are not told the particular offence. They used to actually announce the transgression, they only stopped that when it got them into legal trouble, even then they would have a local needs talk soon after on the particular sin involved. It's often the case that elders tell their wives what happened and it becomes common gossip in the congregation. On the other hand, the Catholic church actually believes in the sacredness of the confessional, for a priest to betray privacy is considered a very serious transgression.
The Watchtower just doesn't want anyone in or outside the congregations to know they have a problem with child sex abuse and they would rather put children at risk than notify the proper authorities. They don't really care about priviledge, it's just a legal maneuver to not suffer legal and financial consequences for their stubborn refusal to do the right thing.