The whole point of the competition is to see if anybody can cryptanalyze the contestants. I think part of what's happening here is that people have put all PQC constructions in bucket, as if they shared an underlying technology or theory, so that a break in one calls all of them into question. That is in fact not at all the case. PQC is not a "kind" of cryptography. It's a functional attribute of many different kinds of cryptography.

The algorithm everyone tends to be thinking of when they bring this up has literally nothing to do with any cryptography used anywhere ever; it was wildly novel, and it was interesting only because it (1) had really nice ergonomics and (2) failed spectacularly.

SIKE made it all the way to round 3. It failed spectacularly, but it happened rather abruptly. In one sense it wasn't surprising because of its novelty, but the actual attack was somewhat surprising--nobody was predicting it would crumble so thoroughly so quickly. Notably, the approach undergirding it is still thought secure; it was the particular details that caused it to fail.

It's hubris to say there are no questions, especially for key exchange. The general classes of mathematical problems for PQC seem robust, but that's generally not how crypto systems fail. They fail in the details, both algorithmically and in implementation gotchas.

From a security engineering perspective, there's no persuasive reason to avoid general adoption of, e.g., the NIST selections and related approaches. But when people suggest not to use hybrid schemes because the PQC selections are clearly robust on their own, well then reasonable people can disagree. Because, again, the devil is in the details.

The need to proclaim "no questions" feels more like a reaction to lay skepticism and potential FUD, for fear it will slow the adoption of PQC. But that's a social issue, and imbibing that urge may cause security engineers to let their guard down.

Yeah I get that, what I am really asking is that I know in my field, I can quickly get a vibe as to whether certain new work is good or not so good, and where any bugaboos are likely to be. For those who know PQC like I know economics, do they believe at this point that the algorithms have been analyzed successfully to a level comparable to DH or RSA? Or is this really gonna be a rush job under the gun because we have no choice?