It's trotted out so often as a truism, but I don't see how it can be the case. I'm no expert btw. But there seem to be plenty of houses, it's just that patterns of ownership have changed due to wealth concentration/accumulation - a third of households can no longer afford to be owner occupiers, while a substantial amount of people can afford more than one. But that's just due to how much money people have, with some having a lot and others having very little.
Also, there is homelessness but that is caused by difficulty accessing housing due to societal vulnerability not being addressed. It's not because there is an insufficient amount of houses.
Aibu to think that the shift in housing tenure is more indicative of an increasingly polarised society, rather than to do with number of houses?