When I was university-aged, all of my asian and indian international student friends were living like 11-14 people to an apartment.
By scaling back and "living like college students" (living like families in most of the world except the US & Canada), they're going to be the only groups of people who have any buying power to buy new homes when they finally get constructed. Meanwhile y'all will continue bitching and moaning about how fucked you are while the immigrant generation laughs their way to comfortable retirement and a better future for their children in your country.
Considering how post-Brexit Britain panned out, the people in charge of policy will be pragmatic and allow immigration to resume just to prevent immediate collapse under their watch, even if re-opening the immigration gates is unpopular.