Please bear in mind when you discuss "rent control" in the USA you really do mean the version you see in your locale. The idea that rent control sui generis failed worldwide is (in my personal opinion) a stretch.

Public housing also has many models. State owned. State funded but via cooperatives. Part state. state assisted co-buy. There's lots of models and so it is also a bit bogus to talk as if public housing has one shape.

I don't like the tone of input here, there is jeering and name calling and ACKSHEWALLY type responses so I am not going to continue, I just wanted to say: don't forget the lessons learned in Austin may not extend world-wide.