No, quite the opposite. As the top-level comment pointed out, this is god-of-the-gaps reasoning. If you fail to find discrete evidence of consciousness anywhere in the brain, the natural conclusion is not "it must be an inscrutable quantum phenomenon that we have been unable to investigate thus far." The natural conclusion is that consciousness is simply not a discrete phenomenon.
We have zero scientific evidence that a mechanism for consciousness is hiding in some part of the brain, waiting to be found. Rather, there exists a popular intuitive dualism that suggests our own consciousness must be more than an emergent neurological phenomenon—that it must be a discrete thing caused by an exotic mechanism with non-computable properties. Ideas like quantum microtubule consciousness (or "orchestrated objective reduction") are the product of motivated reasoning: They exist only to keep dualism on life support, in the face of adverse evidence.
I don't have a methodological problem with this study in particular. If we take quantum microtubule consciousness seriously, it's a perfectly good study. But we shouldn't take it seriously—it's a ridiculous ad-hoc hypothesis that mashes together various cutting-edge fields of science with a hefty dose of quantum mysticism in order inject doubt and escape the potentially upsetting conclusion that consciousness is not a "real" phenomenon in the way that we perceive it to be.