These two are highly correlated. My background is lower middle class, but high income for a few years made me into high wealth. With lower income tax, that would have been even more extreme. But with the high income tax I'm paying, lots of benefits go to low income families and make it less likely that their kids end up poor when they will be adults.A proper taxation of inheritance would make income and wealth even stronger correlated, but that's hard to do as long as you can take your extreme wealth abroad. Family dynasties do exist even here and it's still an issue society needs to solve.
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