Maybe it'll require TLS 1.4/QUIC 2, with no changes but the cipher specifications, but it can happen in two or three years. Certificates themselves don't last longer than a year anyway. Corporations running ancient software that doesn't support PQ TLS will have the same configuration options to ignore the security warnings already present for TLS 1.0/plain HTTP connections.
The biggest problem I can imagine is devices talking to the internet no longer receiving firmware updates. If the web host switches protocols, the old clients will start dying off en masses.
Leaf certificates don't last long, but root CAs do. An attacker can just mint new certs from a broken root key.
Hopefully many devices can be upgraded to PQ security with a firmware update. Worse than not receiving updates, is receiving malicious firmware updates, which you can't really prevent without upgrading to something safe first.
In Chrome at the very least, the certificate not being in the certificate transparency logs should throw errors and report issues to the mothership, and that should detect abuse almost instantly.
You'd still be DoSing an entire certificate authority because a factored CA private key means the entire key is instantly useless, but it wouldn't allow attacks to last long.
The hard part is certificate authentication. And that's not included in the cipher suite setting.
Rephrased, they meant to say "there is no reason to remove support for quantum-vulnerable algorithms in the near future."
IMO that's much less likely to be accidentally misinterpreted.
IPv6 deserves a prominent spot there
I can use myself as an example here. IPv6 is supported by all my hardware, all the software I use, and my ISP provides it. Yet my LAN intentionally remains IPv4 only with NAT. Why? Because adding IPv6 to my LAN would require nonzero effort on my part and has (at least for now) quite literally zero upside for me. If I ever need something it offers I will switch to it but that hasn't happened yet.
PQC is entirely different in that the existence of a CRQC immediately breaks the security guarantee.