Should NIST be disregarded?
NTRU-prime is not a finalist, but OpenSSH has decided that the NIST designation is irrelevant.
https://www.openssh.com/releasenotes.html
ssh(1), sshd(8): use the hybrid Streamlined NTRU Prime + x25519 key exchange method by default ("sntrup761x25519-sha512@openssh.com"). The NTRU algorithm is believed to resist attacks enabled by future quantum computers and is paired with the X25519 ECDH key exchange (the previous default) as a backstop against any weaknesses in NTRU Prime that may be discovered in the future. The combination ensures that the hybrid exchange offers at least as good security as the status quo.
We are making this change now (i.e. ahead of cryptographically- relevant quantum computers) to prevent "capture now, decrypt later" attacks where an adversary who can record and store SSH session ciphertext would be able to decrypt it once a sufficiently advanced quantum computer is available.
People with qualms about NIST might also reasonably have qualms about AES. And there is a common cipher that people use outside of AES --- Chapoly. But it would be downright weird to use, like, Serpent or Twofish; it would be the cryptography equivalent of a "code smell". Chapoly and AES are the de facto standards, and OpenSSH supports both.
Again though: my question is just, what does this (frankly weird) Bernstein complaint have to do with any of it? Bernstein himself is a NISTPQC participant; he's on one of the (large) winning signature teams.
(I think all the technical details here are super interesting, but not especially motivating; I'm not a cryptographer and you should disregard me as well, but my basic take on QC crypto attacks is "Rodents of unusual size? I don't think they exist.")
The OpenSSH decision to promote NTRU-prime from an experimental feature to the preferred key exchange was breathtakingly rapid, and final. It is a tacit assertion that NIST is no longer relevant.
DJB was on several teams, and I think that OpenSSH would lend greater credence to him than any other council, deservedly so.
We might end up with SPHINCS+, but I will be surprised if KYBER is adopted.
This moved very fast.