It's very hard to say that they would be complementary when you have the potential for multiple jurisdictions. It's incongruous to have a national banking standard where banks and related entities design all their products and services for a national scope and then, in many respects, meet varying provincial requirements.
In many cases, going back to your initial question, in many provinces there are no rules that apply to banks. They haven't been doing so. They've been referring them to the federal regulator. They refer them to the Government of Canada to be addressed, so it's not even easy to answer how they would apply. Other provinces, when there's a complaint or an issue, try to have another provincial rule potentially apply to the bank where it may not be appropriate.