Folks that really care about security go for tamper evidence.

For example you can get a filing cabinet which has a lock and a counter that ticks every time it is opened. You pair it with a clipboard where you note the counter count, why you opened it and sign.

It can be picked, that can't be avoided. But the act of opening it creates a trail which can be detected. Adding a false clipboard entry is detected by subsequent users, there typically aren't many people with access.

Determining that you have a breach allows it to be investigated, mitigated. The lock is an important part of that, but it isn't perfectly secure so you manage that flaw.

Of course filing cabinets are getting rare and replaced by digital document stores, with their own auditing and issues.