In all honesty the argument is silly because the concept of "ownership" has a lot of human fluff on top. Animals use a certain area. From a large territory to a single small nest.

Consider the seagull with her nest on the North side of a beautiful artificial garbage island. Her wife and her have their eggs and babies there. They do not also go to the South side of the garbage island and build (or take over) a bunch of other nests that nobody can use without paying rent. The modern human concept of property encompasses this situation. In this example we could also have the gulls refusing to fix defects in the nest while prohibiting the tenants from doing so. Does this sound like typical bird behaviour?