When people are priced out of urban cores they select housing in suburbs. When those seeking suburban housing are priced out they bid up the price of rural housing.

There are a lot of immigrants working in construction. Decreased immigration in the past few years has pushed up wages especially in lower wage jobs like construction laborer. Trade wars and the aftershocks of the Covid pandemic have pushed up the cost of materials. 3% mortgages supercharged demand.

Restricting immigration won't stop a San Jose, CA resident from moving to Boise, ID.