No. I think that is the exact point he was making that quantum key distribution is orthogonal to post-quantum cryptography and that the consensus is that poat-quantum cryptography will actually be used while quantum key distribution is basically an academic exercise because it doesn't have practical utility for the problem it is attempting to solve.
The so called quantum key-exchange requires a shared secret, so it is actually doing key-expansion. Besides that it has practical problems in side-channel protection and cannot achieve a high enough bandwidth to be of interest in most practical settings.
If you wanted to toss out public key cryptography as insecure, I guess you could use QKE to make symmetric key cryptography more practical. You would have a secure method of communicating your keys, and wouldn't have to worry that your new post-quantum public key cryptography was broken- since symmetric cryptography just isn't vulnerable in the same way.