China definitely has radically higher inequality than Ireland. Plausibly no large country in world history has ever had greater inequality. They span from their top 1% which is nearly as rich as the 1% in the US, down to their bottom 20% which are among the poorest people on the planet ($1-$3 per day poverty).
[2013] "China Has the Most Unaffordable Housing in the World"
[1] https://www.theatlantic.com/business/archive/2013/07/china-h...
"From June 2015 through the end of last year, the 100 City Price Index, published by SouFun Holdings Ltd., rose 31 percent to nearly $202 per square foot. That's 38 percent higher than the median price per square foot in the U.S., where per-capita income is more than 700 percent higher than in China. Not surprisingly, this has put homeownership out of reach for most Chinese."
[2] https://www.bloomberg.com/view/articles/2018-06-24/why-china...
"But the impressive size and wealth of the propertied class belies the growing strains plaguing new home buyers. The country now has some of the least affordable housing markets in the world. The ratio of median home price to median income, a common measure of affordability, in most first-tier cities has soared to higher than that of London."
[3] https://www.nytimes.com/2017/06/15/opinion/chinas-real-estat...
My point is that letting the market build housing is an effective intervention up to a point; but it's not the only option by a long jaunt.
First-tier city real estate has comparable price per square area as NYC, London, or the Bay Area, while the average income in China is still a third or a fourth what it is in the West.