The rights of someone operating a business open to the public are significantly less than that of a private homeowner, especially when they expect to have the criminal power of the State to back them up.
The thread has gotten a bit heated, so please understand that I'm not piling on or trying to be argumentative when I disagree with your statement.
The property owner's
rights are the same, whether the property in question is a private home, a store with open doors 24/7, an empty lot that is treated by the general population as a public park, or an inaccessible mountaintop in Timbukistan.
Those rights have been abridged in the case of the store owner. The fact that their rights have been violated doesn't change that they have the right to limit access to anyone they wish, for any reason they wish. A citizen of Baltimore, Beijing, or Brooklyn has just as much right to own, use, and carry, openly or concealed, any handgun, long gun, or machine gun, as anyone in gun-friendly parts of America. They fact that their rights have been seriously infringed doesn't change the fact that those
are their rights.
The courts can uphold such infringements, but it doesn't change the underlying right.
So, yes: I am an absolutist when it comes to property rights. I believe any property owner has the right to boot anyone for any reason, and I don't support the government infringing upon that right any more than I support the government infringing on my right to carrying whatever firearm I wish, in whatever manner I wish, so long as I don't violate any property owner's rights.
Texas currently violates the right of several private property owners when it comes to firearms: private schools, private hospitals, private nursing homes, private parimutuel racetracks, private sporting event venues, private bars and clubs that have 51% licenses, etc. All of these are prohibited from
allowing firearms, even if they wish to do so.
(Yes, hospitals and nursing homes aren't off-limits technically without a 30.06 notice, but the state tells them they must post, in a different section of administrative code. Schools may give specific permission to an individual, but otherwise the general ban stands. Bars may allow managers to carry, but not the general public.)
While I support property owners' rights, what I
don't support, is the draconian enhancement of penalty that happens when a trespasser is in possession of a "deadly weapon", even if that weapon isn't an element of the crime, or the reason for exclusion.