I think the interesting question here is whether Penrose is claiming that the things of which the brain is capable (most notably the production of consciousness

I think the interesting question here is whether Penrose is claiming that the things of which the brain is capable (most notably the production of consciousness) are inherently non-computable by _any_ kind of artificial device, which is effectively a form of vitalism, or whether he is claiming that they _might_ be computable, but only with a quantum computer.