Some will, for the right price, and having quick access to police assistance if needed.
Some of these illegals will refuse to move out, even when the homeowner demands it. The illegal and his MS-13 amigos can make life hell for the homeoners very, very easily.
Some of the illegals will murder their libtard deluded hosts in their sleep. Some of them will appropriate all the valuables, cash, and vehicles they can make off with. Some of them will pass on vermin and serious disease. And some of them will rape female members of the household.