You can reject one property right without rejecting all property rights out of hand (obviously. A simple counterexample: why shouldn't someone own all of the air? Are you against ALL property rights? etc..) Similarly you can reject one specific nuance of one right without rejecting others. The right of ownership (dominion) under roman law could further be broken down into the right to use (usus), to profit from (fructus), to destroy (abusus), to occupy, which can also be broken down into freehold, leasehold, commonhold, etc. It's not a silly question at all to ask whether your rights to dominion shouldn't prevent traversal by walkers etc, and your thinking on the matter seems to be quite simplistic and black and white.