This is a legal question which you should discuss with bank counsel. Without anything in writing, the bank could find itself on the wrong end of a lawsuit if any creditors attempted to collect from the estate and then sued the deep pocketed bank. Without anything in writing to prove what the customer's wishes were, you could find yourself on the losing end.
_________________________
Sola Gratia, Sola Fides, Sola Scriptura, Solus Christus, Soli Deo Gloria!
www.tcaregs.com