Bad analogy. Could you find a better one? I don't think you can. Here is why your analogy doesn't work:
"Furthermore, couching the analysis in terms of a "right to free speech" instead of property rights leads to confusion and the weakening of the very concept of rights. The most famous example is Justice Holmes's contention that no one has the right to shout "Fire" falsely in a crowded theater, and therefore that the right to freedom of speech cannot be absolute, but must be weakened and tempered by considerations of "public policy."3 And yet, if we analyze the problem in terms of property rights we will see that no weakening of the absoluteness of rights is necessary.4
For, logically, the shouter is either a patron or the theater owner. If he is the theater owner, he is violating the property rights of the patrons in quiet enjoyment of the performance, for which he took their money in the first place. If he is another patron, then he is violating both the property right of the patrons to watching the performance and the property right of the owner, for he is violating the terms of his being there. For those terms surely include not violating the owner's property by disrupting the performance he is putting on. In either case, he may be prosecuted as a violator of property rights; therefore, when we concentrate on the property rights involved, we see that the Holmes case implies no need for the law to weaken the absolute nature of rights." -
Rothbard