Does Immigration and citizenships Canada make an issue for someone?
It has been reported ( Cessation and Reavailment: Could I Lose My Refugee Protection, and My Permanent Residence Too? ) that renewing ones passport, or using ones passport to travel (even to a third country, not the country of origin) may be considered a ground for a loss (cessation) of ones refugee or protected person status in Canada. Supposedly, since 2012, that may even be the case not only for a refugee or a protected person, but even for a permanent resident of Canada whose permanent residence was granted based on his refugee or protected person status. Technically, the Canadian government may claim that by obtaining an Iraqi passport, or by traveling on an Iraqi passport, the person has voluntarily reavailed himself of the protection of the Iraqi state; that may be considered a ground for terminating (ceasing) ones refugee or protected person status. Generally, the Canadian government prefers that refugees/protected persons/ permanent residents who have been refugees or PP only travel outside of Canada on a Certificate of Identity (a Canadian travel document for refugees etc: Travel documents for non-Canadian adults and children), rather than on a passport from their country of origin. However, the Certificate of Identity Office (the agency that issues those documents) is presently (summer 2020) closed due to the epidemic; this may make travel on a country-of-origin passport unavoidable for some persons who need to travel. A more detailed discussion of these issues, and the legal reasoning that can be used by the government for making a PR cessation decision (or by the individual for arguing against such a decision), can be found here: Chapter 12 - Applications to Cease Refugee Protection. See in particular sec. 12.5.3.1, 12.5.3.2, 12.5.3.3.