1. You don't need Web PKI certificates for encryption. Indeed in TLS 1.3 this is very obvious because the encryption switches on before any certificates are even involved. You need certificates to... certify identity. And this isn't some oddity of "the web" which might show it's "broken" but simply a mathematical fact about what identity is. If you don't want certificates, you have to just magically know every identity somehow. Works for ten PCs in your office, doesn't scale for tens of millions of web sites.
2. Tim's "Original design goals" are for a system that runs at CERN in Switzerland and is modelled on an earlier system he'd worked with in the 1980s. Tim's system has no encryption, nor does it have most other features you'd expect.
The other comment sums it up, a third party is a good line between convenience and security.
Device? We're talking about browsers. Browsers are getting increasingly hostile towards self-signed certs. Ironically, Google doesn't trust third-party root CAs, so they became one themselves. It's good to be the exception to the rules you push on others.
It's definitely worth having the encryption that prevents a lot of problems today, but I'm worried that QUIC has no unencrypted variant at all. That's almost certainly safer for the user, but it means that if a government blacklisted you out of a certificate, you're screwed.