You are simplifying ad absurdum. The NSA is as likely to compromise hash and signing algorithms as the police are likely to recommend pissing in petri dishes to cast doubt on that troublesome forensic science. The NSA likely has orders more experience with the area of cryptography Kyber comes from than everyone who worked on Kyber. Estimates at one point were that they had more than half of appropriate PhD level Mathematicians in the US, that may have gone down with more cryptocurrency firms, etc, but those firms are not researching algorithm families that may or may not replace the standards with all that much interest.