False equivalence. There's no reason you have to be cruel to either.
You can always build more housing or provide financial services to help poorer people buy homes. Or just, you know, lower the cost of homes so property taxes don't have to be astronomical and force older people out of their homes to begin with.
If housing costs and property taxes are so high it forces older people out, I don't see how that somehow benefits poor people anyway. They still can't afford those stupid expensive houses.
At the edge of town? Why shouldn't we build more housing in the city center?
The problem is the zoning laws: we don’t allow people to let out part of their property, so they’re forced either to attempt to downsize into a non-existent market, or get evicted for not being able to afford their taxes.