How much would they cost if the button was pushed by a foreigner here on a work visa?

"don't charge a professional fee for reading the image"

That's because the Doc, who referred you to radioloy, reads the image. Or are you saying the rip off is even wider and a simple wrist X Ray would require a Radiologist to read it and tack on another fee?
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"You learn more from losing than you do from winning." Lou Pinella