Which hechsher shouldn't? Which does?
Come to think of it, they all should.
I'm calling for an external annual audit process for all hechsherim.
I would donate money to get this started. We need an organization that will give an audit opinion on the respective kashrus organizations processes and controls. To verify that they are keeping and upholding their own standards and procedures.
(Unless there is some kind of inherent reliability built into the leadership of the organization..)