Taken in its entirety, at least the ~20 minutes of the video during which he addressed the question, he doesn’t arrive at a conclusion that would align with it all happening in the brain. In fact, he succinctly dismisses that fairly early, at 2:44 precisely:
Is there some material, molecular basis that we can find for the phenomenon of remembrance? And the short answer is actually, no.
It’s important to note that the structure of the talk is roughly: 1) question, 2) preface, 3) perspectives in contemporary science, 4) counter-factual evidence to contemporary science, then 4) non-local consciousness as informed by Buddhism and his own contemplations.
Thus, when he presents perspectives in contemporary science, he’s not actually advocating them but rather presenting them as context to his later discussion. That discussion doesn’t raise the concept of manomaya kaya, granted; however, there doesn’t seem to be any discordance between the concepts presented and that. Bear in mind that the genesis of the answer was a question as to where memory is stored; he essentially arrived at an answer of nāma-lōka, with limited discussion of the interface between the brain and that realm as a necessary component of a coherent response.
In summary, although the talk is rather Pali-lite—no doubt for the sake of a YouTube audience—the term non-local consciousness is employed, which does align with nāma-lōka (viññāṇa dhatu), especially as described in the “No Spatial Boundaries In Nāma Loka (Viññāṇa Dhātu)” section of Nāma Loka and Rupa Loka – Two Parts of Our World.