Actually I'm not sure the anti-egalitarian conclusion is even well-formed for non-welfarist systems. You can look at welfare levels (if you think those exist) to get what looks like a form of the conclusion, but then we might say that what looks like it's anti-egalitarian is not better because of the less equal arrangement of welfare, but for some other, non-welfare, reasons. Which doesn't seem necessarily pathological (if you are happy with non-welfare reasons entering in).