This system doesn't eliminate people. It eliminates the pointless and harmful hoarding of wealth.
If you're talking about people like Elon Musk and Bill Gates who have giant wealth because of their investments in businesses, then arguing that they should have that wealth taken away would literally take money out of the coffers of businesses that are currently using that money for things like payroll.
The GP is correct -- these people are not sitting around on a vault of gold like McDuck. Their money is in the economy, doing stuff. That's what investments are. That's why investors exist, and why they get a cut of the profit for taking a risk and lending their money to industry.