Housing in US is in fact one of the cheapest... everywhere, measured as price per square foot as percentage of income. Several times cheaper than in many countries and at least somewhat cheaper than almost every single one, rich or poor, democratic or authoritarian.

It's just that "normal" housing in the US is what's only attainable to the very rich and only because they inherited it, in most of Europe let's say: even 1% won't be able to buy an equivalent of median new US single family house, in EU - that 1% probably owns a similar or somewhat better house but simply because they bought or built it generations before.