They most definitely don't want to cooperate with the authorities, and
any cooperation is given grudgingly when a case has been reported
to the police by the victim, and the elders have no other choice.
For cults like the watchtower, child abuse is a problem without a
solution I'm afraid, and will be for as long as they hold their public
image in higher regard than the safety of children within their
congregations.
Despite all the evidence to the contrary, they still seem to regard
child abuse as more of a sin than a crime, which is clearly flawed
logic on their part. We all know that their "cure" for sin is to pray
more, study more, preach more etc, as if such acts would stop
a paedophile. While they persist with this policy, there is no hope
of reform in the watchtower, and their already-serious problems
regarding child abuse will only get worse.