Billionaires do not equal capitalism, though. The nature of a system is what is rising in it, not what is dying away. It's through these logical leaps that you have to resort to in order to justify your own lack of support for a system where public ownership is the principal aspect, where as production socializes and centralizes it is folded into the public sector, and where the working classes maintain dominance over the state.

How do you get rid of private property? Is all private property the same? Is it all superfluous, or does it present a tradeoff? Since no system is static, what a system is working towards, its trajectory, is critical.

You can insist that there are no gaps, but from what I can tell there are plenty. You place your hatred for billionaires over your desire for a better world for the working classes. You take socialist countries as enemies for not placing retribution over material reality.