What exactly makes 'rich people's money' a finite resource? Where do you think their money comes from? If you look at the average billionaire, their wealth trends up even if they're giving big chunks of it away - Bill Gates is richer now than he was when he started giving away huge piles of his money, because for a rich person wealth is (unless you're literally lighting it on fire) not trivially exhaustible.
Many countries previously have had high tax rates on the rich (upwards of 50%) and those rich people still managed to avoid being poor.
It would be another matter if their plan was proposing to cut off rich people's income - but their plan doesn't even touch rich people, it is funded by corporations. Even if you were to institute a 2% wealth tax to fund public internet, the rich would still stay very, very rich because it's possible to keep earning money off your remaining wealth through investments and other means.