Who is actually affected? Those less powerful. Progressive tax system hits the middle class (actual middle class, la petite bourgeoisie, not the modern bullshit redefinition of the term) hardest, making it harder for them to make it rich and compete with actual rich people.
As the effect, rich protect inheritance by trusts and avoid taxes by not having income (plenty of tricks available with borrowing), while people like doctors, lawyers, small business owners fund the state and hit hard limits on what can they make.
Don't believe me? Check how much of the tax income comes from top brackets. You may be surprised. Pro tip: system is very skewed to the top.
Shouldn't everyone pay their fair share of taxes? Warren Buffett and others seem to think that they should.
The problem is that the top paying those taxes are not the rich people.
Super-wealthy can take the time to figure out ways to have no income.
And if you do inheritance taxes and similar things, you get more “universities” and other non-profit “finagling”.
IKEA is an example.