@jmakesart This word really irritates me on several levels.
People live in all kinds of structures: caravans, boats, appartments... They don't have houses, but they do have homes. The emotional significance of 'home' is important. It suggests safety and stability and privacy: things that homeless people do not have. Calling them 'houseless' instead, almost hides how dangerous and depressing homelessness can be.
I would be interested to know how this change came about, and willing to bet money that those pushing for the change are not, themselves, homeless.