The JJverse version of the prime directive is taken to extreme, just like Asimov's three laws are pushed past the breaking point in the "I, Robot" movie. In TOS there would have been no problem if they were accidentally seen if that is what it took though the preference would have been to not be seen.
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Check it out here. http://www.youtube.com/watch?v=6B22Uy7SBe4
They feature How It Should Have Ended (HISHE)