Comment: if that's the idea

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if that's the idea

then I wouldn't call it "not owning" the property. I can still sell it, pay the tax bill, and pocket the net amount. I think the person who gets the money when something is sold (net, after paying off any debt secured by that thing) is the de facto owner of that thing.

The analogy to storage fees for gold is interesting here. If they sold the gold to pay for your storage fees, you'd still get the net proceeds from the sale after the storage fees are paid.

Or back to real estate, if you hire someone to do some remodeling and don't pay them, they might use a construction lien to force you to either come up with the money or sell the house. It would be an odd use of the word "own" to say that the remodeling company "owns" the house simply because the debt is secured that way.