One of the major concerns that I have with both "real" property and "IP" property concerns the issue of "reach". To explain, you own a piece of property (lot) that property abuts other lots owned by other people. Your neighbors, of course have, a right to build on their lot. A problem, of course; what they do on their lot affects the value of your lot. So to what extent do you have a right to prevent your neighbor from doing something that you believe diminishes the value of your lot?
Your post clearly answers that question, the answer is "NO" because the neighbor is not affecting the physical integrity of your lot.
In terms of so-called intellectual property, two people can come-up with the same concept. So how is it that one person can assert ownership of that concept over another person? Getting back to the concept of "reach", you should not be able to prevent the other person from using his/her concept just because you also had the same thought. The value of the concept derives from the competitive market where success is based on competition not on obstructive litigation.