If the doctor's wanted to discuss the conditions where they worked, they shouldn't have signed confidentiality agreements as a condition of employment.
Reminds me of the appropriately-titled "Patriot Act" provision where if the feds investigate you for potential "terrorism" you are forbidden to tell ANYBODY. Very patriotic, I must say.
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http://blog.chron.com/texassparkle/2014/06/thousands-of-illegal-immigrants-given-bus-tickets-to-cities-across-america/