That class paid less than the working class in taxes last year[1].
[1] https://www.washingtonpost.com/business/2019/10/08/first-tim...
They still pay more in actual dollars. Dollars are what people are after here.
The link you gave says that about 50% of Americans pay zero federal income tax. Are you trying to imply that the only tax in the US is the federal income tax?
Federal income tax brings about 2000 billions USD, US GDP is about 21000 billions USD, and all taxes/GDP is about 25% or about 5250 billions.
Or, in other words, you're overlooking about 2/3 of all taxes.
As stated, that is completely and unequivocally false.
Near 50% of Americans pay no "Federal income tax" where "Federal income tax" is arbitrarily defined to not include payroll taxes despite them being a Federal tax on income. They still pay payroll taxes, state income tax, sales tax, etc.
[0]https://www.forbes.com/sites/noahkirsch/2017/11/09/the-3-ric...
A thought example is Einstein, Feynman, Bohr compared to 'common folks' - same thing, different domain.