Canadian citizenship alone does not determine immigrant visa chargeability. The usual rule is based on birthplace, with statutory exceptions assessed separately.
Identify the relevant country before comparing availability
Keep your passport history and birth record distinct. Do not choose an investment or a relocation date on the assumption that a Canadian passport erases the relevance of another country of birth. Separate the two things a passport does.
It establishes present nationality, which matters to travel, to consular arrangements and to a range of practical steps. It does not rewrite a birth record, and the usual chargeability rule looks to birth. Holding both facts at once is uncomfortable only if you expected the newer document to supersede the older one.
The practical consequence is that the queue relevant to this case may not be the queue that acquaintances holding Canadian passports describe, and a plan calibrated to their experience is calibrated to the wrong information. Before any date is committed, ask the person performing the analysis to state in writing which country the case is charged to and on what basis. If the basis is an exception rather than birth, ask what would cause that exception to fail.
Both answers are short, and both are worth having before capital is committed or a household begins reorganizing itself around a projected year.