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.