No, that's definitely the case. If we were looking at pardons that would not continue to be in place, it would either be a situation involving good conduct, but most often, it would be a new conviction.
Evidence of meeting #158 for Public Safety and National Security in the 42nd Parliament, 1st Session. (The original version is on Parliament’s site, as are the minutes.) The winning word was process.
A recording is available from Parliament.