How would shifting the tax burden more onto the poor reduce the influence of the rich on the government? It seems like the wealthy's influence on politics is

How would shifting the tax burden more onto the poor reduce the influence of the rich on the government? It seems like the wealthy's influence on politics is two fold. Indirect, people who get elected to Congress have wealthy friends, and interact more with wealthy people. I.e. they have way more friends that are doctors than burger flippers. Direct, wealthy people and directly contributing larges amounts of money to access politicians. It seems like the first would be unaffected, and the second would mbe made worse because the poor would have less, and the rich more disposable income to use to donate to and influence politics more.