Yes but that's good.

>Engineering greater total suffering so that you don’t have to be indignant at others suffering less, is not exactly noble.

I actually think it would reduce total suffering, just that it's a short-term vs long-term thing.

>We could end education and healthcare inequality today by shutting down all the good universities and banning all good health insurance. But that’s backwards.

You're sort of close to what I want but not quite. We'd shut down all education systems which allow you to buy good results, same for healthcare, it's not about absolute quality it's about the relative quality in exchange for dollars.

My point is that when you drag everyone into the same crap system, the most powerful in society who currently get to opt-out are stuck as well. They're forced to advocate for systems which are universally better rather than advocating for systems which are selectively better. By changing the incentives this way we stick everyone on the same side, inside of one side against another, it's better for everyone.