Add ability to suppress server logs

Currently directly using the middleware in my tests, and would be nice to be able to suppress the server logs (without having to override the console object)

Start at the middleware entry point and inspect how server logs are emitted when the middleware is used directly in tests. Run the existing test suite to identify the relevant behavior, then verify that callers can suppress those logs without overriding the console object.

Written by the indexing model from the issue text.