Wrong...the thing is that for you to vote in any province you MUST be a factual resident of that province, your registration is not based on possibilities or hypothesis but on actually living permanently in the province
Question 9C
Check whether you reside (live) in Quebec.
If yes, indicate whether you authorize CIC to provide your name, address, gender and date of birth to the Chief Electoral Officer of Québec so that your name can be added to the Permanent List of Electors (voters).
If you do not provide the authorization, you will have to go to the revision office and present two supporting documents to register your name on the list of electors to be able to vote in a provincial, municipal or school election.
http://www.cic.gc.ca/english/information/applications/guides/CIT0002ETOC.asp#CIT0002E5
Entry on the permanent list of electors
Outside an election period, you must contact our Information centre to obtain an application for entry form, complete it, append the photocopy of two identification documents and return it to the address indicated on the postage-paid reply envelope.
If your application for entry is accepted, you will receive a confirmation of entry.
Conditions that must be met:
be 18 years of age or older;
be a Canadian citizen;
have been domiciled in Québec for six months;
not be under curatorship;
not have been convicted of a corrupt electoral practice.
http://www.electionsquebec.qc.ca/english/provincial/list-of-electors/entry-on-the-permanent-list-of-electors.php
If you click YES you are telling CIC that you comply with Quebec electoral law and are eligible to register as a voter, this means that if you live outside QC you are providing false information, and that may get you a RQ or the application rejected because you are giving a mailing information in a province that is not Quebec yet you intent to register in QC as a voter, not to mention that you have to declare your addresses over the last four years, and if the agent sees that you have not lived in Quebec he/she will be suspicious about why you would want to be registered in Quebec when you don´t live there.
So, I suggest to check NO and avoid a whole array of possible problems.