alt Hacker NewsQKD is interesting from the PoV of perfect secrecy. But AFAIK with e.g. BB84, the basis orientation communication (used to detect OTP delivery eavesdropping) is done with Wegman-Carter (unconditionally secure) authentication using... a pre-shared key.
So if you're only interested in computational security that is post-quantum, why not pre-share a symmetric key for some AEAD scheme? You'll get forward secrecy with hash ratchet and neither provides future secrecy in principle.
Neither solves the bootstrap and QKD requires a really, really expensive and complex infrastructure just to provide perfect secrecy which we're fine without.
In my opinion, QKD (implemented correctly) performs key exchange, basically like Diffie-Hellman except that it’s secure even against an adversary with unlimited computing power. If I had a quantum computer and a quantum network anyway, may I’d use it, but probably not with Wegman-Carter. If not, I wouldn’t.
(BB84 is from 1984. The terminology was different, and the understanding of what mattered in cryptography was different.)