Absolutely. The charter allows due process for the average citizen of the country, so simply because we wear the red serge does not mean that we aren't entitled to that same process. Whether it's an internal process or a criminal code process, that doesn't mean we shouldn't have those same protections under the charter.
If you give a man supreme power to make absolute decisions without due process, due consultation, you'll inevitably run into situations in which that charter or those rights have been violated.