But, as Paul Graham points out, that is not the same thing as saying that inequality is bad. What it says is that poverty is bad. And that’s something that I don’t think anyone would argue with.

I think that's the point isn't it? The rest of the post talks about how you don't have empathy with a wealth gap, but the examples given are really showing how it is hard to empathize with those in poverty and that's where the the problem is. It is hard for someone who even was in poverty in the past to empathize with people currently in poverty because you aren't going through it every day.