So everyone who has enough money to rent, but not enough to own, should be homeless? That middle ground of renting has to exist, or we're overall in a much worse state of affairs. And you can't rent unless there is a homeowner to rent from.
Also, a lot of people deliberately choose renting over owning, because they value things like not having the financial burden of house maintenance/repairs, or it being orders of magnitude easier to relocate, for whatever reason, and so on.