What do people mean when they say socialism? Like Liberalism it really does span the spectrum in terms of use of the term; National? Soviet? European post war parties? Contemporary Nordic countries? African socialism? South American? There is enormous diversity and its hard to pin down what people mean.

Same with inequality generally. You can get wildly different figures depending on whether you judge the bottom 50% v the top 1% or the bottom 20% v the top 20% etc etc.

Then you have to consider that whilst extreme inequality plainly isn't a good thing, inequality generally isn't the be all and end all. It's about absolute poverty really. Some places with terrible qualities of life are more equal than some countries with much higher qualities of life.