To put in perspective what a program to bring prices down would actually look like, Sweden launched a program in the '70s to build a million homes in ten years, when its population was 8 million. We have not seen homebuilding on that scale in the United States for decades, if ever.
It's simple supply & demand. We can't reduce demand -- people need shelter. The solution is providing supply. No amount of fiddling with interest rates, corporate real estate investment, or whatever else, will alleviate the housing crisis. (# of houses available) / (# of needy families) << 1. Fix the ratio, or live with the crisis. Everything else is lipstick on a pig.
(Not disputing just no experience personally).
[0] https://www.axios.com/2023/11/02/dc-housing-rent-antitrust-l...
More likely scenario to solve the affordability issue is 40-50y mortgages, and socialistic handouts by states (like CA is doing).