No IELTS as I got PR on sponsorship. Degree certificate does not mention anything about what Language course was in.
Then you didn't really 'use' these educational certificates for immigration (if sponsored, your education wasn't relevant).
I think it will be hard to be certain whether this will be accepted in advance, and you'd waste a lot of time (after applying and waiting) to find that out.\
Therefore to me the simple answer is to just do the CELPIP test, it's a couple hundred bucks and there is no waiting for spaces. Supposedly it takes a bit over an hour. Why risk it when you can just do the test?