Sorry, I should have been more clear. What you copied and pasted there is the generic message that every single person receives about their police certificates. If you are required to submit one for Canada, they will not request it until later in the process, and you will receive a letter specifically requesting fingerprints/RCMP check, by name. You do not need to submit one up front.
See, that's what I thought. Good news, @WeegieInOttawa!