Ah yes. Let's take something that's prone to causing service issues and strap more footguns to it.
It's not worth it, because the cost is extremely quantifiable and visible, whereas the benefits struggle to be coherent.
With DNSSEC, a host with control over a domain's DNS records could use that to issue verifiable public keys without having to contact a third party.
I ran into this while working on decentralized web technologies and building a parallel to WebPKI just wasn't feasible. Whereas we could totally feed clients DNSSEC validated certs, but it wasn't supported.
1. Things that use TLS and hence the WebPKI 2. Other things.
None of what you've written here applies to the TLS and WebPKI case, so I'm going to take it that you're not arguing that DNSSEC validation by clients provides a security improvement in that case.
That leaves us with the non-WebPKI cases like SSH. I think you've got a somewhat stronger case there, but not much of one, because those cases can also basically go back to the WebPKI, either directly, by using WebPKI-based certificates, or indirectly, by hosting fingerprints on a Web server.
There may be other applications where a global public PKI makes sense; presumably those applications will be characterized by the need to make frequent introductions between unrelated parties, which is distinctly not an attribute of the SSH problem.