As far as the US is concerned, banks do report back...
I'm assuming you've seen this ..
http://www.cra-arc.gc.ca/tax/nonresi.../nonres-e.html
Also, if OECD pubs are to be belived... I'm pretty confident that if the
Canadian Govt wants to find out .. they will.
Beyond that .. talk to an accountant. You'll find hundreds here who have experience dealing with the Canadian authorities..