In virtually the whole of Canada and the United States, dense, walkable neighborhoods are illegal. Even if you get rid of one type of zoning, other types remain. For example, one of the Texas cities has no zoning laws, but it does have mandatory parking minimums, mandatory street setbacks, etc. Basically the city must be car oriented and low density, even if you can add commercial stuff in residential zones.

Japan is the one place in the world that freely allows density, and Tokyo has not seen rising prices. Note that though Japan's population is shrinking, Tokyo's is rising. Unlike North America, new housing production has kept up with population growth.

https://www.wsj.com/articles/what-housing-crisis-in-japan-ho...