None of that is handled by the bank apart from counting the currency and processing the deposit, which is part of a bank employee's normal duties and is covered

None of that is handled by the bank apart from counting the currency and processing the deposit, which is part of a bank employee's normal duties and is covered under their hourly wage. Depending on the type of business, cash drops are handled directly by employees on company time, or else handled by a cash transport service such as Brinks.