I do not understand the facts well enough to offer anything close to definitive observations.
I can say, generally, that mistakes are not fraud. And IRCC is usually good at distinguishing what is a mistake versus a deliberate misrepresentation (fraud). While this is not always easy, not always so clear, IRCC will USUALLY sort one from the other and will often accept, or even assume, that a factual discrepancy is due to mistake not deliberate misrepresentation unless there are relatively clear or even egregious indications of deceptive intent.
The larger and potentially problematic issue is probably compliance with the PR Residency Obligation. Again, I do not understand the facts well enough to so much as guess to what extent this is a potential problem. But it appears the extent of absence in conjunction with discrepancies could pose some problems.
It is worth remembering that even entirely innocent mistakes show that the person is NOT a reliable reporter. IRCC does not have to perceive, let alone conclude, a PR has deliberately made a misrepresentation in order to have concerns about the PR's credibility. How much so, how much the PR's credibility might be seen as compromised, will of course vary widely. Isolated or small mistakes, typos in particular, do not typically mean the PR's credibility is much compromised. Big mistakes or numerous mistakes, however, can severely compromise IRCC's perception of the PR's credibility, no matter how innocent the mistakes are. Lots of variation in-between.
What matters most, probably, is how much time the OP has spent in Canada within the five years immediately preceding the date the OP made the PR Travel Document application, and perhaps being able to prove that (such as with evidence to show, including dates, where the OP was living, working, going to school, worshiping, or volunteering in Canada; that is evidence to show whatever it is the OP was doing while in Canada).
A bit about the facts: Again, I am not clear about the facts. On one hand the OP indicates the error is about a date the OP exited Canada. But then the OP suggests the error derived from a passport stamp from a country other than Canada. Another country may have put an erroneous date the PR entered or exited that country, but would not stamp the PR's passport at all (thus neither erroneously nor correctly) to show when the PR exited Canada. While it appears to be common practice, PR's should NOT rely on other country stamps when reporting the date the PR entered or exited Canada (many times, if not more often than not, entry stamps into another country are, at the least, a day OFF relative to when the PR exited Canada; and otherwise they only show a date the PR was abroad and NOTHING about when the PR was in Canada). The PR should ALWAYS accurately report the date the PR exited Canada, the date the PR entered Canada. Since the PR was there each and every time, the PR not only has this information but the PR is the ONE BEST SOURCE of this information. (Which is a big part of the reason it is so important to protect one's credibility: so that when the PR provides this information it is believed, it is relied on.)
BUT of course travel dates do not stand alone in either a PR card application or a PR Travel Document application. The PR also provides address and work history. The address and work history helps IRCC compare information, like travel dates. This can help the applicant when it helps IRCC recognize that this or that particular date appears to be a mistake, where it is inconsistent with the other information provided.
A bit about the PROCEDURE:
Here too I am not clear about the procedure to date. If a PR Travel Document application is in process, that is what now really matters. Possible outcomes include:
-- PR TD granted (PR then returns to Canada, retrieves PR card, all is well)
-- PR TD is denied (if the application is denied it is imperative, to keep PR status, that the PR APPEAL, which requires further discussion)
-- Visa Office sends PR request for additional information or evidence (this would be an opportunity for the PR to fully explain the relevant facts and circumstances and include evidence proving where in Canada the PR lived, worked, and so on, and of course the dates for that; important to really make the case showing compliance with PR RO)
There have been only a few reports of the latter, the request for additional information or documents. Hard to say whether this is unusual or not. Most reports indicate the Visa Office usually approves or denies the application for a PR TD. If approved, no problem.
As I noted, if the PR TD application is denied, it is imperative the PR appeal this decision in order to keep PR status. If the PR has been in Canada within the preceding year, the PR can appeal and also apply for a special PR TD allowing the PR to return to Canada pending the appeal. An application for a special PR TD can be made even if the PR has not been in Canada within the preceding year, but it way, way less likely to be granted.