It changes the calendar, not the eligibility standard. The investor still needs treaty nationality, a real operating enterprise, substantial capital committed and at risk, genuine control of the business, and an operation capable of more than a minimal living. Family circumstances add urgency to the schedule without altering any of those tests.
Hold the standard, move the schedule
Work the eligibility questions in the normal order — nationality first, since citizenship of a treaty country is what counts and residence in Canada alone does not supply it, then the enterprise, the funds and the investor's role. Where the child's birthday compresses the timeline, the response is to start earlier and prepare evidence in parallel, not to submit an incomplete case. A rushed application that draws further questions costs more time than careful preparation would have.
It is worth being specific about which parts of the case can genuinely be accelerated and which cannot. Evidence gathering, corporate formation, the transfer of funds and the preparation of the business plan are all within the family's control and can run in parallel. The transaction itself depends on a seller.
The government step depends on nobody the family can influence. Compressing the first group is legitimate and often effective; treating the second and third as compressible is how households end up submitting a case that is thin in exactly the places a reviewer looks first, which costs more time than it saves.