I think having a spectrum of sanctions would help as well. Right now, everything that is an offence under the act is to be sent to the RCMP. But in fact—you're correct—not all files are created equal. There might be files where we could simply issue a public report with AMPs, a prohibition on lobbying and not necessarily an offence under the Criminal Code.
Evidence of meeting #4 for Access to Information, Privacy and Ethics in the 43rd Parliament, 1st Session. (The original version is on Parliament’s site, as are the minutes.) The winning word was lobbying.
A video is available from Parliament.