So if you wanted to apply the rationing strategy to housing, would high taxes on unoccupied be a way of doing that? I think I have heard of cities (Vancouver?) implementing such taxes.
That would be akin to banning people from hoarding toilet paper. Not a bad idea, but the reason why hoarding affects prices is because there's already scarcity to begin with. Unoccupied units are not driving up the cost of housing, increased demand is.