Is it typical to use an uncertain affiliation within a paper?
No. There is no bullet to be bitten. Whenever you submit a paper, you just list your current institution as your home institution, no matter what you want to put here.

The affiliation on a paper has two purposes:


to allow others to contact you - nowadays it's mainly a disambiguation in case your name shows up multiple times on an internet search, but in former times, the institution information was necessary in order to send the author a letter or in order to call him/her;
to assign credit to the institution that supported you during your research.


The Canadian university did not do any of that (yet), so they should not be listed. Note that if you already started at your next institution when the final version of the paper is due, then it is entirely reasonable to update your affiliation then, just as you would update an e-mail address that expired. However, for reason number two from above, you would add a footnote stating that the work was carried out while you were still at your former institute/university.