I worked in a bank and we couldn't even swap cash between tills with our colleagues without a paper trail . Even to change 5 pence into 1p coins . There has to be something recorded to check against at the end of the day when cashing up .
The ' new ' coins will have arrived into the bank with paperwork to cover them , therefore a record needs to be created to pass them out though the tills / accounting system too . It would be ridiculous to have allow cash to go in and out of a bank unrecorded .
You could never close off accurately daily , and just as importantly the bank teller who had handled the transaction wouldn't be recorded either . Each teller is 100% responsible for their own tills .