is the bank staff, who brought the cash to the counter, the conductor?
Are you conducting a transaction at the counter or simply counting the cash and then placing it in safekeeping? What does your S/D box agreement say about the bank's rights and responsibilities if you have to drill a box? Maybe I put that particular set of Federal Reserve Notes in my box because they have numismatic value. When I discover you put my cash in the drawer and issued an official check or created a deposit account, I'm going to be VERY unhappy.