On her Incapacitated side, Nuit causes the Environment trash to be reshuffled into the Environment deck. If there is no Environment trash, do I still have to shuffle the Environment deck? The same question applies to Incapacitated Atum and the Villain deck, but obviously it should have the same answer.
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There's no real reason to unless you've stacked the deck using Visionary, Nightmist, Wraith, or Tempest. A random deck will still be random whether you shuffle it again or not.
If you have stacked one or more cards (top or bottom) then yes.
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I agree. There's no point to the physical act of shuffling if all you're going to end up with is a deck that's just as random as it is currently, but if shuffling it will increase its randomness, it needs to be shuffled.
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