And being their parent, would you attempt to correct your child on this?

That's the point I'm making. As a person responsible for another person's life, you owe it to them to give them the best information and direction they can get for their own decisions, and if you knew they were making poor decisions, resort to discipline when all else fails.

OSHA regulates your employer, not you. Unless you have a controlling stake in your place of business, believing you will shoulder these regulatory burdens is fallacious.

So in that sense, your employer is the parent and responsible for your health and safety while present at the workplace, and that includes making sure you don't willfully go against their safety policies. Doing so can result in disciplinary action up to and including termination, and that's true of every company in the US that OSHA applies to.

Unfortunately for your argument, the best you can do is present a scenario which I honestly don't believe is likely. I personally work at a firm that required the vaccine when the first doses were coming out back in early 2021. Everyone took it. They even had the carrot of having a big barbecue once everyone's vaccination was complete.

I don't feel this concern of people walking out and causing your own work to pile up holds.