A company cannot demand you do something harmful to yourself or be fired. They can fire you for cause at their discretion. They can also fire people simply to reduce costs.
What they can’t say without consequences is- “harm yourself, or be fired.”
Imagine if the harm was just as minor as cutting off the tip of your left pinky finger.
In a market the workers who were fired would be replaced by people who don’t mind the vaxx. That’s how it should be. One should fire and hire with free reign. Now, you can’t look at someone without them complaining and lawsuits. The push back against companies abilities to hire and fire will completely destroy any future workforce.