Probably, but that isn't really something I say anything about in what I wrote. Instead, what I wrote is basically a terminology quibble with the use capitalism instead of market economy.

I don't think your statement is true absolutely, I think it's very possible to have pure market economies that are quite well-functioning, i.e. not monopolies etc., where many people are very rich but with some people being really poor, even to the point of not being able to afford healthcare or healthcare insurance, so I don't think it's guaranteed to be true, though I think it's mostly true.