Illegals don’ buy homes. They end up pooling resources and government freebies and renting single family homes and occupying them with 2 or 3 families or 15 or 20 individuals. The houses and neighborhoods fall into a state of abuse with garbage and junk everywhere. They overburden schools, hospital emergency rooms, increase the crime rate. The property values tank even worse than similar non-illegal areas.
I certainly don;t think they are the answer; importing them has closed some hospitals here. They don’t buy homes; they rent apartments (and pay with cash) - often in neighborhoods that are falling already. They make it even more undesirable for Americans to settle in an area...