That is all nice and true in theory. But property rights don't exist from nowhere, they need to be created by private actors or governments.

Global property rights issue will not be solved by simply law-suit the way you might fix a noise problem. Governments are not only not establishing property rights they would actively prevent anybody that did.

If your read the literature on the economics of property rights and Ronald Coase own writings you will see that he did not believe simplified version of the 'Coase theorem' that was formalized by Stigler.