Exactly. Any business can choose to restrict unvaccinated. Any business can fire their employees for being unvaccinated if they want to.
The problem is New York will fine any businesses not checking vaccine passes and are forcing them to turn away unvaccinated.
Ok - so can the unvaccinated start their own restaurants of only unvaccinated? Can we open up our own hospitals with the nurses that were fired from mandates? Can we setup our own public transportation? Why not?
Is it because of the scare mongering about variants? Well people who took the vaccine are also causing variants, actually their supposedly super-high levels of vaccine antibodies are not stopping breakthroughs that much - so they are putting evolutionary pressure on the virus to mutate and evade those antibodies. It makes no sense to blame the unvaccinated for that. So why take away unvaccinated freedoms to setup their own restaurants, services etc? That's not liberty for a business or anyone really, that's fascism.