I know a lot of people like to dump on Firefox, but a number of paywalls, including the Guardian one, completely disappear when you use it. For those that don't, some of them disappear if you use reader mode.
You may be surprised to learn that there is more than one person on HN, and also that among the group of people made up of more than one person, some of them have different opinions than others.
there are a lot of sites that do that, especially in germany. and it annoys me to no end because i believe it is actually illegal. at least that's how i understand it. i might be wrong but i believe that tracking cookies must always be optional, paid or not.
Switching to Cloudflare DNS solves archive.today problems? That's strange. archive.today is known for having problems with Cloudflare DNS[1]. Switching to Google DNS should solve it. (This isn't because of a bug in Cloudflare DNS, but rather that archive.today dislikes that Cloudflare DNS doesn't support EDNS.)
Disclosure: I work at Google, but not on the DNS team.
Archive blocks VPNs. If you're on one, that could be why.
I've also found that archive.ph is significantly less accessible than archive.is despite hosting the same content. Pausing my VPN for a few minutes and then changing the .ph to .is fixed a similar captcha loop for me, though I still did need to solve a captcha for it.
are you using a VPN? that happens often to me. might be a combo of that and ublock origin. I'm guessing archive gets a ton of attacks from VPN so they probably just have rules to captcha any VPN address. I have a local proxy on rpi setup and then a container in firefox that lets me use that to quickly swap to a proxy that uses my real IP. very handy for shit like this.