Canadian sociologist of religion Reginald Bibby says that they do not, at least not as much as their American counterparts. See this National Post article.
His soon-to-be-released book (mentioned in the article) must surely elaborate on this claim, but the article does provides a glimpse of his reasoning. According to Bibby, Canadians are less inclined than Americans to make bold truth claims, and this hampers competition between groups. I think the implication we are supposed to infer is that if the groups are not distinguishing themselves according to their truth claims, then there is less product differentiation or less enthusiasm for religious services.
By my own application of the economic approach to religion, I find this logic incomplete. If all that is needed for religious competition is to have more religious entrepreneurs offering bold truth claims, then why are those entrepreneurs not entering the religious market? The article mentions the possibly that demand for religion is low in Canada. This is possible to be sure, but it is not clear why Canada would be so different in this regard from the United States. Is there another explanation?
Another place to look would be the supply side of Canadian religious markets. A quick visit to the ARDA reveals that the Canadian religious markets have a degree of unbalanced religious favoritism. Perhaps this favoritism hinders religious competition to some degree. (We will discuss the impact of religious regulations on religiosity in a couple lectures later in the course.) Can you think of a better explanation?