You get that the most important "peer review" in the PQC contest took the form of published academic research, right? NIST doesn't even have the technical capability to do the work we're talking about. My understanding is that they refereed; they weren't the peer reviewers.
Replying to your edit I've been an academic peer reviewer too. For all of its weaknesses, that kind of peer review is the premise of the PQC contest --- indeed, it's the premise of pretty much all of modern cryptography.
Replying to your edit I've been an academic peer reviewer too. For all of its weaknesses, that kind of peer review is the premise of the PQC contest --- indeed, it's the premise of pretty much all of modern cryptography.