Unfortunately not. When you're over-rich, you stop getting income. Not kidding: check these folks, they have no or very low incomes.

They have wealth. An unfathomable wealth.

None of their expensive assets are under their names. They're under shell companies names. When you claim to pe working all the time, any time of your yacht is working, right?

Then there are the expenses they can't put on corporate accounts.

For that, they borrow money, at ridiculously low rates because they put a portion of their wealth as a caution.
When they need more money, their wealth has increased so much just because of economic growth that they can borrow more money just putting the wealth increase as a caution, and that's enough!
Banks are happy with these arrangements because their immense wealth management make them money.

Full payment back of these loan will be done upon their death.

Taxing their income is pointless. You need to tax their wealth.

Edit: and... i just realized I missed "increase in worth". Well, I would still put a wealth tax.