I’ve got an idea about homelessness. Do you know what they ought to do? Change the name of it. It’s not “homelessness”, it’s “houselessness”. It’s houses these people need. A home is an abstract idea, a home is a setting, it’s a state of mind. These people need houses; physical, tangible structures. They need low-cost housing.
-George Carlin
“Houselessness” sounds a lot better imo than “unhoused”. Fits in better with the existing term.