Sure they do. Under current laws almost all businesses could refuse to allow an unvaccinated person entry.
Again, the Christian baker doesn’t seem to have that right, even after the USSC ruled in his favor; the state of Colorado found another reason to sue him, because he refused to bake a cake to celebrate somebody coming out as a trans-whatever; at this point its obvious, the state of Colorado is attempting to break him (financially) and put him out of business. Go figure.
Homosexuals are a protected class under anti-discrimination laws in Colorado and most other stats. Being an anti-vaxer is not so the laws don't protect you from discrimination.
So you can deny, deny, deny all you want...
So can you. But if you would just read the applicable laws you would realize your denials are wrong.
BS, either every business has the same private property rights or they don’t. I don’t give a damn about the carve outs to please the marxists, either a private business has the right to pick and choose, at their discresion, whom they want to do business with; or they don’t. Screw that protected status bullsh*t.