HN is using Let's Encrypt, and so are about a third to half the sites on the internet at this point. If there's an issue with Let's Encrypt, the people on/running this site would know.
https://community.letsencrypt.org/t/preparing-for-quantum-sa...
Like I said, more frequent certificate reissuance probably covers it. It would be changing a timing parameter in the config and resetting some options in an orderly upgrade not a massive lift and drag to another place.
https://letsencrypt.org/2024/12/11/eoy-letter-2024/
As with any donation-supported venture, their ability to consider “someday” concerns is directly tied to donations and sponsorships. Reading between the lines of the recent revocation shutdown, I estimate their operating budget does not have room to consider PQC, when they have more pressing concerns to focus on.
So, their disinterest in PQC does not likely inform on whether others should do PQC or not; to each their own risk assessments, etc.