For criminal actions in the US, at the least, what you do say can be held against you.

What you don't say cannot, and what communications you destroy (as part of an ongoing general "document management" policy, not as a specific response to a lawful demand for records) cannot.

However if you phrase your document management policy as "apply these guidelines so that our illegal activity cannot be documented by us as illegal" you will be having a Bad Day should that policy come before a prosecutor, Grand Jury, or court.