I recognize that. As I mentioned, I'd get rid of that tax. However, many would also point out that they get much and sometimes all of the FICA taxes refunded through the EIC. I don't bring that up, because the EIC doesn't benefit the poor very much. They get the check, but the employer reaps the benefit by paying them garbage wages that they'd otherwise be unable to pay.
I left those out because we were talking about federal taxes. These are state and local taxes, and things are different at the state and local levels. The poor pay quite a bit at those levels. They pay sales taxes and indirectly pay property taxes, and in states like Texas where property taxes are ridiculously high, that can be pretty substantial.