I see the point, but I don't see what is wrong with that, and I am relatively poor person. I see calls for equality all over the place, but nobody wants to be equal, especially not in taxation - a fix amount (not percent of something) sum per citizen is equal and nobody wants it. Equal rights, equal taxes, equal obligations, no exceptions - be it financial, demographic, military, etc.
A Georgist-style land value tax (LVT) is fairer and has the added benefit of ending land speculation, a practice that leads to distortions in the housing market and harmful property boom-bust cycles.