We don’t know much about this case so it is hard to comment. That said there is no harm applying for H&C. It does sound like this is a single mother of 3 with none born in Canada who has been on welfare throughout their whole time in Canada. Applications for asylum from Pakistan are hit or miss. Really depends on reason for asylum but far from a guaranteed approval. Unfortunately many seem to be under the false impression that getting asylum from Pakistan is almlst guaranteed. It seems as through the family may have been living in KSA longterm which if the case makes proving the need for asylum from Pakistan much harder. Compared to many other applications they have not been here longterm, one parent is not living in Canada, no parent is working outside the home, etc. The argument will be that there won’t be a huge transition if the family has to return to KSA or Pakistan due to the short time in Canada, that the children are bilingual (or more), that some of the children would have attended school in KSA or Pakistan before coming to Canads and the children will benefit from having the family reunited since the father never came to Canada. There may be extended family as well since there has been no mention of extended family in Canada. Due to covid there is likely less ties to the community for both wife and children. No mention of medical issues have been indicated. Should definitely file and H&C but based on the information that has been posted this is definitely a challenging case.What kind of lawyer who doesnt want you to utilize all your last option? I would go for that while stay application is on progress
If you are comfortable sharing what we’re the grounds of you seeking asylum? Had you been living in KSA or Pakistan? Did you enter Canada as visitors or enter via the US border to claim asylum? It looks like your spouse tried to secure a WP to Canada a decade ago, had you applied to come to Canada other times? Did you or your husband have a job lined up in Canada? Due to covid becoming established in your community was much more difficult especially in some areas. Have you been able to get involved in your community? What about each child? Have you thought about what points would be the strongest things you should highlight in your H&C application?