I do not agree with you. Statistics Canada has been doing voluntary surveys for many years and we regularly get response rates of 75% to 85%. Canadians do cooperate with us.
We recently surveyed Canadians to see how much cooperation we could expect from them and 85% said that they would probably respond to a survey from Statistics Canada if asked to do so.
So, I do not believe one can say there will automatically be a problem with the response rate. The results will depend somewhat on the sociopolitical context at the time of the survey. However, it is quite possible that Canadians will cooperate with us and that we will get a good response rate even with the voluntary survey.