And for everyone else that just wants to connect to an SSH session without having to setup PKI themselves? Tying that to the records used to find the domain seems like the obvious place to put that information to me!
DNSSEC lets you delegate a subtree in the namespace to a given public key. You can hardcode your DNSSEC signing key for clients too.
Don't get me started on how badly VPN PKI is handled....
Yes, modern fleetwide SSH PKIs all do this; what you're describing is table stakes and doesn't involve anybody delegating any part of their security to a global PKI run by other organizations.
The WebPKI and DNSSEC run global PKIs because they routinely introduce untrusting strangers to each other. That's precisely not the SSH problem. Anything you do to bring up a new physical (or virtual) involves installing trust anchors on it; if you're in that position already, it actually harms security to have it trust a global public PKI.
The arguments for things like SSHFP and SSH-via-DNSSEC are really telling. It's like arguing that code signing certificates should be in the DNS PKI.