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Robert Picardo admitted he faked his way through the pilot of Star Trek: Voyager
(redshirtsalwaysdie.com)
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I am fairly sure that would have killed Voyager before the pilot was even wrapped.
Edit: If the show did go on, crew suicide rates would have been astronomical and part of the running story line. I can't imagine that having the Dr. as a morale officer would have been in the best interests of the crews mental health. /s, but kinda not /s.