> sets goals for housing
I don't think the federal government does that at all but please someone correct me. Immigration is a federal issue that gets decided mostly on the federal level. Housing is not a (direct) federal responsibility, again correct me if I'm wrong. The government can give incentives but it can't dictate how much housing needs to be build by the provinces/territories, municipalities, etc.
Here's an example, how the BC government is explicitly trying to get more housing built: https://www2.gov.bc.ca/gov/content/housing-tenancy/local-gov...
Edit: It's actually not that simple as I thought. This is a good read about the topic: https://theconversation.com/housing-is-a-direct-federal-resp...
There's a lot of jurisdictional overlap when it comes to housing, but Canada certainly does have a federal Minister of Housing, Infrastructure and Communities, the office of which is currently occupied by Sean Fraser (who was formerly the immigration minister). But even if housing were entirely out of the federal government's hands, that wouldn't be an obstacle to them mathematically linking immigration targets to measured housing builds; they can link it to any variable they want to, even the weather on Mars.
You're right, I've changed my mind a bit about this now.