I wonder to what extent poor non-homeless populations are similarly shifted around the country, albeit more slowly? A city in New Hampshire used federal funds

I wonder to what extent poor non-homeless populations are similarly shifted around the country, albeit more slowly? A city in New Hampshire used federal funds to build low-income housing. Which attracted low-income people. Who disproportionately used city services. Which cost more than the added taxes and federal funds which came with them. So the city bought low-income housing. And tore it down. Which seems analogous to buying bus tickets out of town?