This seems patently ridiculous. How can there be no limits just because a perspective employee can theoretically refuse?

What if all the companies decided to have these requirements?

There's an inherent power imbalance here that isn't so simple as dismissing any issues simply because there is no literal gun being held to the head at the moment of decision.

And I'll assume even you have limits somewhere. For example, predicating employment for a cushy remote via snail-mail job on a specific person happening to die... Eventually you just get to the most threadbare excuses for soliciting illegal activity.

You don't have a right to work anywhere specific, but you do have a right as an employee that a big list of things cannot be required by your employer.

You're just arguing against the idea of employment laws as a concept. Where do you draw the line? I would have assumed "Employers don't have a right to require physical mutilation" would have been a universal belief, but apparently not.