Quite the opposite actually.Increase capitalism and reduce government control and you get more housing.
Either way I would say housing in Japan (considering all the constraints) seems to work great.
No. Very little. Just read articles over the years saying they are facing similar issues of real-estate bubble and speculation and that prices in Seoul are getting close to those of New York.
The capitalists instead decided to optimize for steadily increasing the price of housing by restricting supply, so these are now primarily seen as an investment with nearly-guaranteed returns, rather than places for people to live.
Or "magic coin-shitting machines", as Charlie Brooker so pithily put it.