Currently being a Canadian federal public servant, I can tell you from personal experience that when the job posters go out, they will not specify what university your degree comes from, or at least in the last 10 years I've been with the GoC I've never seen one that has. I'm pretty sure they can't; it's against the public service employment act (which may or may not apply to the department you're thinking about; check what rules they fall under.) They can specify what degree they want to see, what specializations they want you to have, but you've already covered the key word - accredited. The wording has always been 'requires a degree from a recognized/accredited university or post-secondary institution in the specified field or.....'
I got my degree long-distance from Memorial University in Nfld while doing night shifts on Vancouver Island. They didn't care - I had the required degree from an accredited university.
My only question is why Athabasca? From the research I did when I was looking for a place to do my studies, they were incredibly expensive - actually the most expensive in the country. Is there no other institution that offers the courses you're looking for?
If you're looking for a government job (I can only speak for federal here, don't know about provincial) go to the jobs.gc.ca website and check out how they word their job posters, you'll start to see a pattern. It may not need to even be a Canadian university you attend.