Vienna? World famous for publicly-funded housing construction?

Try this one: "Create a simple analysis approximating how much higher rents would be in Vienna if not for the aggressive public subsidization of supply"

In any case, Vienna has a good system! But it's not that it avoids high productivity → high rent, it's that it splits rent into subsidy costs and rent.

In other words, the amount of subsidy + rent required will grow with local productivity.

My point is: Your post reeked by defeatist 'nothing can be done against market forces'.

Yes, it can be done, and if we want to have a reasonable future, it should be done.