I'm sure this will be wildly popular politically, because people LOVE the idea that some foreign boogieman is the reason their children can't afford homes anymore.
It's much easier to outsource your problems to some outside "other" then deal with the much harder task of introspection over the poor housing policy that you and your neighbors have voted for over the last 60 years.
Like all cities in areas with heavy-handed zoning regulations, abuse of historic preservation clauses, and filibuster-style city council meetings blocking new construction...the issue is one of supply.
It's the same problem in literally every developed country on earth right now. The industrious, forward-looking people who originally built the cities during the major growth phase died...and then their kids grew up believing that the way things ended up was somehow divinely ordained. Never to be changed or built upon again.