Thank you very much for sharing your opinion and your experience! I am also planning to apply for renewal of study permit and CAQ. I am already having CAQ and study permit but I couldn't go to the Canada last year due to personal issues. Recently, I have also applied for the renewal of CAQ. Meanwhile, I also want to apply for the PR as I am having enough experience and CLB9 IELTS score and ITA. As I have applied for renewal of CAQ and most probably Quebec will send the CAQ to IRCC(CIC), I don't want to hide the fact and put Montreal and Quebec as the places where I would like to live. I think there are lot of complexities involved in my case and I don't what's gonna happen with my application for renewal of study Visa and PR.I would advise you against it, although there is nothing wrong with it. Usually for Quebec, you need a CQE and have to be sponsored through Quebec. Quebec as a province has a special status in Canada. However, once you get your PR under FSW, you can live anywhere in Canada, including Quebec.
I can cite my example here, I filled Toronto as my intended city, but as soon as I landed, I moved to Quebec and live in Montreal. I have the province health care, no questions asked and all other Provincial benefits.
Given the legal complexity, you can fill in Toronto, and later move. Even if you want to fill Montreal, that would be fine, but you may be asked more questions and most things in Quebec are in French, which makes things difficult to navigate for no-french speakers.
This is my opinion, and others may differ. But under the Canadian Constitution, when you become a PR, you can reside anywhere in Canada, that is your fundamental right.
Thanks again!