> Going to split hairs over the definition of socialism?
Absolutely. Socialism equals failure born out of ignorance. Bernie Sanders is a socialist. Ocasio-Cortez is a socialist. These people are clueless about the economy, as well as the countries that they themselves refer to as socialist[1].
[1] https://acton.org/publications/transatlantic/2019/01/17/denm...
Social democracy works. Obama is a social democrat. A welfare state can work, if there's an economy to support it. Socialism ends up destroying the economy, which ultimately destroys the welfare state as well.
The American socialists will not destroy the economy by turning the means of production over to the state, like the Soviets. They will destroy the economy with reckless spending programs that will create so much debt, it will either bankrupt the state or destroy the US dollar - the one major export good that the US has left.
> On the other hand, inequality and social mobility do seem somewhat more connected.
Yes, as I explained, if equality is low, it easier to move up or down an income strata, but it also means less in terms of wealth.
> It's also obvious that all the countries with lower inequality and higher social mobility have higher living standards than the opposite, with a few potential outliers.
Similar reason, if the standard of living is generally lower, it's relatively easier to rise up in absolute numbers. That is, if you want to go into the top percentile in Denmark, you'll need to earn maybe half a million euros (couldn't find a number), whereas in China you only need to earn less than 100,000$[2].
[2] https://blogs.wsj.com/chinarealtime/2013/09/23/what-percent-...