The vast majority of houses are not going to foreigners or corporations. Some do, but it is only a tiny percentage. We need to build more housing, in the end housing costs are about supply and demand.
What percentage of new developments are going to foreigners?
I looked up some property tax docs of a new luxury apartment building (majority of units go for 2M+) in NYC and I was shocked to see something like 90% of the owners had chinese names.
I'm guessing that the majority of these are foreign buyers. I'm also guessing its unlikely that the NYC new development market is being dominated by asian americans?