This is true, but it is the minority of the poor. If all were wealthy, their generosity would cover the poverty of the ill and weak out of charity.
The truly poor can hardly care for themselves, let alone their neighbors, and the wicked will not if they have the means, but the righteous wealthy man will care for many unfortunate neighbors.
We must also take into account that the tyrant creates poverty by stifling those who would create wealth and keeping those who don't from improving themselves. (I mean the welfare state ironically creates poverty by robbing the productive and disincentivizing the unproductive.)