'Normal universe' a special case?
Ah, I see. The answer is still no. Quantum mechanical effects are practically universal -- there's really no getting around them. The best candidate for dark matter, WIMPs, are hypothesized to be as of yet undiscovered particles (Which would undoubtedly behave quantum mechanically, entanglement and all). Similarly, the best known explanation for (in principle, if not in magnitude) dark energy is the vacuum energy, a quantum mechanical effect.
The real point here is quantum mechanics is a deep deep underlying theory in the universe. It transcends different types of particles and energies. Perhaps I can crystallize this with an analogy... Suppose we live on a planet with only red balls. We observe a peculiar effect -- they always fall down -- gravity. One day our learned astronomers report they have discovered, elsewhere in the universe, some blue balls. Since we believe the principle of gravity to be something fundamental, which applies to all kinds of matter, we would assume that it applies (and rightly so) to the blue balls as well.