Sir, what CIC call centers tell you is not the whole story.
One of my neighbor applied as a FSW category back home and when she received her PP she was staying in Canada. When she tried to reenter, then immigration officer asked her whether she has any CSQ. They informed her that reentry in QC is not permitted if someone does not have a CSQ. Montreal is also a city in QC. Its a immigration matter dude, not a play game.
It depends on which immigration officer is in front of you. After than that, the lady tried to reenter from ON, and officer did not accept her. After a month back, they accepted when she communicated with some social organizations.
After getting your successful landing, you can even choose QC to stay. Lot of people comes to work or study. But please think it twice. Or go ahead whatever you think.
Nivrit