Why would it? The situations are entirely different; in the mail package situation, the outside company is attempting to get you to pay for something that you did not request. In the Bank/ATM, the company made a mistake.
For the bank situation to work, they would have to add an unrequested service to your account and then attempt to charge you for it. i.e. Bank adds overdraft protection to you checking account and then bills you for it.
Say you have an internet plan with a 5GB download limit and after 5GB the connection would no longer send data, one month it lets you download 7GB and then they send you a bill for going over. You probably would not have to pay the bill since they changed their behavior and provided extra without prior notification.
For the bank situation to work, they would have to add an unrequested service to your account and then attempt to charge you for it. i.e. Bank adds overdraft protection to you checking account and then bills you for it.
Say you have an internet plan with a 5GB download limit and after 5GB the connection would no longer send data, one month it lets you download 7GB and then they send you a bill for going over. You probably would not have to pay the bill since they changed their behavior and provided extra without prior notification.