I don't believe this is correct. You can't launder money with a safe deposit box, so it makes no sense to have to conduct money laundering checks on one.
Standard rental agreements explicitly state that the bank does not retain a key and is unable to open the box (without destroying the lock) in the event that you lose yours.
For example: https://www.bankofamerica.com/content/documents/deposits/saf...
"The bank does not retain duplicate keys for any rented box".