He says that building housing does bring prices down, but not very much. In his paper they argue that income inequality is a big driver of making housing unaffordable. (Not billionaires, but more those making more than the median income vs the rest) Because (among other reasons) those with higher income have leeway to spend more on housing versus those at the lower end of the income scale who can’t spend more on housing even if they get a raise.
https://www.youtube.com/live/ai76174930Q?si=R-FYO86COepRADhE...