For a while now, I've had infrequently occurring arcane cert/SSL issues connecting to archive.ph and its siblings, but trying a couple of links from the article I find I can't get past an endless cycle of "one more step" captcha protection - tried clearing all cookies and revisiting an old url, but to no avail.
DNS was ISP, not 1.1.1.1, and I get the same behaviour after switching to 8.8.8.8.
That said, I have the same problem. Even hard coding the IP address I resolved through Google doesn't seem to work. I'm guessing their sabotage may have backfired and is causing issues beyond their intentional scope?
I had to switch back to my ISP DNS to have connection successful.
I did not realize that choice of DNS resolver could effect access to a website like this. I thought DNS was boring stable technology. The error conditions weren't even DNS failure (which I would also find surprising from Google or Cloudflare), but that server timeout, or weirder infinite captcha loop.