I don't think the society can afford to drop this appeal.
1. If they loose their appeal it opens them up to huge amounts of liability. They need the courts to come down on their side of the clergy-penitent confidentiality issue. They also need the court to rule that they cant be held liable for the actions of a member who held no position of authority at the time of the incident.
2. They can get a bond or get court approval to move most of their assets.
3. They need the appeals to go on long enough to empty most of the funds from the WTS of NY and put them into the WTS of PA corporation. They need to do this before the appeals process is done to prevent other victims/lawyers from becoming embolden by the success of the Conti case if/when they win their appeals. The WTS of NY holds the liability for cases from the 70s-90s which are the cases where they have the most exposure. If they make WTS of NY insolvent then there will be no money to pay the victims for the cases during those years. They did not start to change any of their policies until 99-02ish(I might have my dates wrong) The liability is still there for the cases under the WTS of PA but it is greatly diminished because that had taken some actions, and they time frame was shorter.
4. They need this win bad. They are not used to being loosers. The average JW is not used to seeing them loose in court. Rightly or wrongly they will fight this case all the way to the SCOTUS in order to let 'Jehovah prevail.'