all their 'solutions' are market based. China's success no matter what certain liberals claim is because of the role the state played in it's economy, not because of markets.
housing? deregulate so private developers (hopefully) build shittier homes. the entire thing relies on private sector's willingness to build homes. and even if homes are built, supply can be manipulated and prices can be set by developers because there is no such thing as a free market.
a state owned enterprise for building homes and selling it at below market rates is impossible to imagine for them.