Since they believe they are God's Chosen, this elevates them above everyone else. They cannot allow anyone to know there are issues. There is a facade to maintain of being 'the happiest people on Earth'. But when the issues become public, the questioning arises as to how God could possibly give a group like this his favour. They have to maintain the delusion of superiority or they are just like every other religion and have no basis to claim they are the one true religion.
A 'perfect storm of conditions' exists within the Jehovah's Witness religion which allows sexual abuse of children to continually occur. These are:
1) Repressive norms about masturbation and pre-marital sex.
2) Patriarchy ideals.
3) Barriers to women's equality.
4) Erosion of social networks (Isolation).
5) Social powerlessness of children.
6) Weak criminal sanctions.
7) Strong ideology of family sanctity.
(Reference David Finkelhor)
If something is not done about this, it will repeatedly happen. They are not going to give up their self-righteous deluded authority.