I don't really have a dog in the CRQC fight. But reasoning abductively: every cryptography I know is at least abstractly concerned about classical breaks, particularly within the last 18 months.

(There's a separate reason to be interested in "PQC" cryptography: even in the absence of a "full" classical break, most cryptographers agree that it's not ideal that all of our eggs are currently in one asymmetric cryptographic "basket," i.e. problems that generalize to the hidden subgroup problem. Asymmetric schemes whose hardness does not depend on a lack of solution to problems in that space seems like a reasonable thing to research and build.)