I'm really sorry it took me some time to reply. I just finished with Alina a student housing survey report project for the Rietveld/Sandberg and Monday/Tuesday it went online, and I had to take some time to digest in order to get back to more intellectual endeavours (it's visible there).
So now back on thinking about housing in broader terms.
What you're writing makes me think about a possible ambiguity of the term property. Like, property as ownership, as economic (material) property, an abstract status enforced by law/rights. But besides that ownership can also be a sense of connection, when home feels home, it's because one takes (emotional) ownership of a place (ownership = own). There ownership is beyond material (and beyond property as an economic right, actually, how twisted is it that the right of property often impeach other rights to be fulfilled as the right of housing, right to access water, etc).
Property from wikipedia even starts in a really, I feel, weird way:
Property in the abstract is what belongs to or with something, whether as an attribute or as a component of said thing. In the context of this article, it is one or more components (rather than attributes), whether physical or incorporeal, of a person's estate; or so belonging to, as in being owned by, a person or jointly a group of people or a legal entity like a corporation or even a society. Depending on the nature of the property, an owner of property has the right to consume, alter, share, redefine, rent, mortgage, pawn, sell, exchange, transfer, give away or destroy it, or to exclude others from doing these things, as well as to perhaps abandon it; whereas regardless of the nature of the property, the owner thereof has the right to properly use it (as a durable, mean or factor, or whatever), or at the very least exclusively keep it. [link]