Agree with all of the responses. Since husband's work permit doesn't expire until August 2027, which is a few years away, the timing does aline well - wife can get her own open work permit if her husband's work permit is eligible (see
https://www.canada.ca/en/immigratio...mmon-law-partner-canada-open-work-permit.html for details). If not then best to stay on the visitor record until the wife is ready to apply for the study permit.
The timeline about the H&C application is right. The official gov't source at
https://www.canada.ca/en/immigratio...vices/application/check-processing-times.html is currently reporting "More than 10 years" along with "About 49,400 people waiting" (so basically if applied for H&C now the application would still be open when the wife is trying to apply for the study permit and later the economic class PR, so definitely a conflict there).
While not a government source, it's noted in
https://ccrweb.ca/en/issues-humanitarian-and-compassionate-applications that H&C takes a long time and is getting worse.
Also, you shouldn't leave Canada once H&C has been applied for. See
https://www.canadavisa.com/canada-i...an-compassionate-re-admitted-question.827335/ (which references the text of an official letter from IRCC) and
https://www.immigration-nation.ca/2...ompassionate-permanent-residence-application/
As for a more official gov't source, as per
https://ircc.canada.ca/english/helpcentre/answer.asp?qnum=483&top=15 most folks can't apply for a study permit within Canada. There are some exceptions (including for refugee claimants) but these don't cover H&C. So the wife would have to leave Canada to apply for the study permit, meanwhile as per the earlier paragraph it's generally a bad idea to leave Canada with a pending H&C. You can see why there's a problem.
For reference, here's the exceptions:
You can view the list of exceptions from
https://www.canada.ca/en/immigratio...services/study-canada/study-permit/apply.html if you chose the right options,
Only some people can apply for a study permit from within Canada. Do any of the situations below describe you or the person you’re applying for?
(required)
You’re currently in Canada and one of these applies:
- you have a valid study or work permit
- your spouse or common-law partner or your parent has a valid study or work permit
- you’re a minor child in primary or secondary school
- you’re an exchange student or visiting student
- you completed a short-term course or study program required to be accepted at a designated learning institution
- you or your spouse or common-law partner or your dependent child has a temporary resident permit valid for 6 months or more
- you’re being sponsored to immigrate and you already applied for permanent residence (if you’re eligible)
- you or your spouse or common-law partner or your dependent child are subject to an unenforceable removal order
- you’re the spouse or common-law partner or your dependent child of
- an athlete on a team based in Canada
- a member of the media
- a member of the clergy
- military personnel on duty in Canada, or
- an accredited foreign representative
- you’re a refugee claimant in Canada or a family member of a refugee claimant in Canada