I was recently in Europe and one thing that I noticed is that there are many seemingly successful department stores in the city centres that do a lot of what The Bay did here, including specifically, carrying those aforementioned products.
Specifically, I visited de Bijenkorf in the Netherlands, Inno in Belgium, and Galeria in Germany. If you look up those stores on Google Maps and check the photos, you will note that they looks exactly like the higher-end The Bay stores.
Kinda made the point in my head that the department store model was not dead, it was just poorly ran here, and The Bay's demise leaves a retail market gap in Canada. As you say, I cannot picture Canadian Tire stores filling that gap even if there is product crossover in kitchenware.