I guess it would be a form of objective idealism. The materialism-idealism axis is over whether matter or mind shapes reality while the objective-subjective axis is over whether something exists outside an observer or whether something exists entirely within an observer.
Objective materialism: The sun is a star that exists in material reality independent of any observer.
Subjective idealism: The sun exists within a dream that only you are privy to and cease to exist when you wake up.
Objective idealism: The sun rises and falls everyday at a predictable pattern because that’s what everyone believes to be true.
Subjective materialism: The sun as a bright orb is a personal sensual experience that other people might not share.
You could create a world that operates on objective idealism-subjective materialism and it would be an extremely trippy world. So the sun would rise everyday because that’s what everyone believes, but each person’s subjective sensual experience of the sun would be radically different. One person could perceive the sun as an ice orb while another person could perceive the sun as the letters S U N flying in the sky while another person as a massive loaf of bread that rises. But no matter the radically perceived difference in senses, everyone agrees the sun has to rise everyday.
We don’t live in a nomadic society, so a houseless person is going to be a homeless person anyways even by this pedantic distinction. Houseless but not homeless would largely be limited to people who just got evicted and have to stay at a motel.