Any changes in New York’s patchwork system of town and village courts should also address the failing for which local justices are most often punished — the mishandling of court funds — the administrator of the Commission on Judicial Conduct told a court-reform commission Wednesday.

Robert Tembeckjian said one out of every six cases in which the commission has publicly disciplined judges has involved the improper recording, depositing or remitting of funds that town and village justices collect in fines and fees from parties before them.