That is ethically wrong even though a Canadian PR allows you to live and work anywhere in Canada including Québec.
I was speaking more to the high skilled foreign workers in Québec who have to wait years for a permanent residency because they work & reside in Québec. This delay also applies to foreign students in Québec who wants to apply for permanent residency after their studies. Québec is not a good choice for foreign workers and students in Québec who wants a permanent residency. Rest of Canada follows Express Entry but those who work or reside in Québec is not eligible for the fast track process. One country two rules.