Except the premise given by bumbly above was that the employee's labor is inelastic as they are locked into the industry, and thus the labor would shoulder all of the tax without change in supply. Your comment is directly calling bumbly a liar.
Also, I did not say their labor is inelastic (at least not at the collective level). The employees have a right to strike. However, the govt has said their labor is a necessity for the public good and has reserved the right to regulate it. Therefore, there is not a free market to set the price for labor as long as that regulatory mechanism exists.