Actually with Carbon inequality, the problem is that driving and flying is not expensive enough!
And it seems that it touched some sensible point as the comment is at -3 right now.
That does not change that billionaires are incompatible with capitalism. They have too much power, so instead of reducing costs, increasing production or providing better services they just play to be god with our resources. And they monopolize the economy, stop competition, and kill capitalism. And I think that capitalism is not that good and needs a lot of help from the government to function, but it was better than authoritarian waste.
The overall world carbon gini coefficient is less than the wealth coefficient. And this is totally expected: ultra-rich people cannot consume fast enough to pollute more in proportion to how much richer they are. For example, to do this would private jets, they would have to be paying for other people to ride separate private jets, as there is only so much time they want to spend in an airplane themselves.
A carbon tax might not hit private jets hard enough, but it would definitely hit "regular people's" (still rich by global standard's) air travel, and that would lower a lot of emissions.