My definition of wealthy is having enough money to need no income. As we tax income (except at death), that means a wealthy person can easily avoid taxes.
And if they want some income, they can buy municipal bonds, and as noted, never sell any assets. I don't know the interest rate they would pay on say stocks, right now leveraging stocks does have a low rate for everyone. And they can also donate appreciated assets, I've done that myself, to offset some taxable income.
They will pay property taxes and sales taxes of course.