I still don’t understand the point of quantum key distribution. It protects against passive snooping but not against an active man-in-the-middle attack: thus it gives you no more protection than, say, the Diffie-Hellman exchange performed at the start of every TLS connection. The main counterargument is that quantum computers can break Diffie-Hellman, and can do so retroactively if someone is tapping your communications today and saving them for the future. But post-quantum public key cryptography exists; admittedly it’s not as vetted yet as the traditional kind. but it will be soon enough, so even if there’s some rationale for using QKD today, it’s not the “future-looking” technology it’s sold as.
And in the meantime, if you really want to guarantee the confidentiality of your shared secret that badly, you can just physically drive over to the other organization carrying a copy of it. Inconvenient, but surely less so than running long fiber-optic cables through tunnels solely for that purpose.