I honestly cannot imagine a competent employee being demoted. I can imagine positions in Youth Services that might (might) be better filled by someone gay, like gay youth programs, the “it gets better” is more convincing from someone for whom it actually got better, for instance.
In Ohio, though?
No, I don’t do that, or need to, but if it was comfortable the whole workout, seems like it must fit the way you’d want it to.