It's just Consciousness of the Gaps. Quantum mechanics are mysterious and are a frontier of science, so surely consciousness must dwell there.
I would say it is, you shouldn't make unsubstantiated claims based on gaps in our shared knowledge, that's very unscientific. Just because we don't understand something very well, doesn't mean we can just attribute other unexplained phenomena to it.
As for quantum effects in the brain being responsible for consciousness, there is very good reason to think it is false, no matter how much Penrose insists.