Technically speaking, after you land, the mobility rights guaranteed by the Charter kick in and since it has maximum legal power over any other act Section 6 will apply to any PR:
Every citizen of Canada and every person who has the status of a permanent resident of Canada has the right:
to move to, and take up residence in, any province, and
to pursue the gaining of a livelihood in any province.
However, it is not guaranteed that CIC will take the breach of IRPA lightly when the immigrant applies for Citizenship or renewal of PRC. There have been many instances of rejection based on QC residence of FSW applicants who were unable to provide definitive proof of moving out of province after being granted PR status. Of course, you can sue them if this takes place, but it will incur legal fees amounting to around 3-6k and it will delay processing by several years.
So, no, I would strongly advise against moving to QC. But the final decision rests with each individual, of course.