No because we're a smaller country with fewer people and fewer chickens :/

These arguments never make any sense. Compare Canada to any individual state with around 30 million people then, like California.

The point is the supply management system. It's this weird semi-socialism thing where the government tells the industry of some life-essential product to always make more than people will actually buy, they mandate production quotas on them. And then the government pays them for all the extra that they don't sell, so that it doesn't actually burden the producers and make the industry collapse. That way one bad year when there's an avian flu outbreak or a baby formula factory contamination, there's still enough surplus to make up the difference and the prices/availability don't change at all, because you made sure the industry was always making enough to cover it.