Hi Joe,
As per my understanding the purpose for Cust-Disp cases is to give AR analyst more time to investigate the dispute and assign a Debit item (invoice) latter on to the dispute case and make it a regular dispute case which then becomes process integrated with AR and closes automatically once the invoice is cleared. In case the AR analyst does not find any item to be attached i.e. the dispute case is invalid. The analyst should manually close the Cust-Disp Case.
So, as per that explanation to close them automatically does not make sense to me. I will suggest you to go back to client and have this discussion. Because with the logic we discussed above we might close a Cust-Disp case during the time AR analyst was investigating it.
Thanks,
Prateek