SUMMARY: Probably NOT a good idea to submit a request for urgent processing because you need a Canadian passport to obtain status to work in the U.S.
Explanation (tangents and distractions aside):
Generally there is minimal downside, minimal risk in making a request for urgent processing, and thus even when the chance of getting urgent processing is poor, if it is important for the applicant the conventional wisdom is, essentially, go ahead and give it a shot.
To be clear, however, the odds are high against urgent processing requests based on the need for a Canadian passport. Many fail to distinguish needing Canadian citizenship versus needing the benefits of a Canadian passport. They are NOT the same. Generally the fact that Canadian citizenship is needed to obtain a Canadian passport does not make needing the benefit of a Canadian passport (as opposed to, say, the PR's current passport) a reason for IRCC to expedite the citizenship application process . . . at least not ordinarily. But, again, the conventional wisdom is that it is OK to give it a shot.
All that said; the CAVEAT/CAUTION: Even though there is no required intent to reside in Canada upon being granted citizenship, applicants who appear to be interested in obtaining Canadian citizenship as a means to elevate their opportunities to work and live in other countries, the U.S. particularly, have an increased risk for elevated scrutiny, meaning a risk of encountering the opposite of expedited processing: non-routine RQ related processing which can delay the timeline substantially and potentially by a lot. Thus, again, probably NOT a good idea to submit a request for urgent processing because you need a Canadian passport to obtain status to work in the U.S.
