State of Ohio public employees are uniquely positioned because they are not covered by OSHA mandates which may, or may not, be issued. From the OSHA website:
Section (3)(5) of the Occupational Safety and Health Act of 1970 specifically excludes Federal OSHA's authority over employees of State and local government. The Act provides for States to assume responsibility for occupational safety and health programs under the State's own plan, which must be approved by the U.S. Department of Labor. Each State-plan must include coverage of public employees of the State, and it must be "at least as effective" as Federal OSHA's protection of private sector employees. https://www.osha.gov/laws-regs/standardinterpretations/2006-10-11-1
I am not sure what the percentage of public employees in Ohio have foregone the vaccine but almost 40% of California state employees have rejected vaccination.
Public employees should not be forced to choose between their job and a shot that fails to neutralize the virus and is ineffective against Covid strains.