Presently, Integrity Gateway Wizard provides a mechanism to import and export Documents from Integrity. But there is no way to control the import / export permission. If a user has read permission on Document then, user can import / export the document.
However, there can be a scenario where you want to restrict export or import of any confidential documents to privileged participants only.
There can be another scenario where you do not want certain documents instances to go out of system.
There must some mechanism to set ACLs for Document Import/Export in Integrity Workflow & Documents module.