You know what else is scarce. The blueprints for a room temperature superconductor. It's so scarce there aren't any yet. Are they ownable? If I invent one I get to control the use of a bed, but not the thing that I and no one else in the whole world could create? Doesn't seem right.
Can two or more people make exclusive use of a bed? No.
Can two or more people make exclusive use of a
copy of the blueprints? Yes.