Small buisness should. A small buisness should have the right to turn down a customer because its against their religion or creed.
However, once a buisness becomes international, once it becomes a board and something bigger than itself, it should become a public entity with certain obligations to service constitutional rights, not recive them.
Example:
Facebook claims Floridas new law censors their right to free speech, because Facebook sees itself as having the rights of a person. It doesnt, it shouldnt.
Walmart shouldn't have the right to turn away people who haven't been vaccinated.
Could a mom and pop shop? Sure. Its their right.
Yet some places would starve without access to mega corporate shoping centers. If Walmart, Target, and dollar stores banned together to deny service to a demographic, that would be catestrophic.
Idk. Im uncertain on how the law actually works, its just an observation I felt like sharing.
If you loan your friend $1000, and he uses that to buy a gun and shoot somebody, does that make you liable? No, of course not. Even in a pure libertarian society, there is still a lot of liability protection for people who buy shares, bonds, or invest in a company, who would have no reason to believe that the company would violate the freedom and property rights of others.
You're right I was simplifying a bit for the example. AnCap courts necessarily have to determine liability (it's a fundamental aspect of replacing State), and would still find legal fictions like "corporate personhood" a useful tool for assigning responsibility.