I think you are out of touch with reality.
Try branding: should a company be able brand its employees and fire those that don’t accept it. (Assume a new policy and a long operating company.)
No way- they would be sued out of existence. Rightfully so.
The reason why companies love the mandates is because it saves compensation. The flip side would be to pay workers higher amounts to get a vaxx. Or, pay a worker higher to get branded. People would take the money or tacos.