The page loads fine in Ladybird[1] on Arch. It's the browser purpose-built for SerenityOS[2] using a in-house HTTP/JS/TLS engine that hasn't matured to the point of practical usability yet. If I were a site administrator using some kind of weird metric to block a browser, this thing would definitely go on the blacklist.
As for a more common uncommon browser, GNOME Web (WebKit) also works fine.
Whatever is causing you to get blocked, it's not the browser engine you're using. Check your plugins, antivirus, MITM engines, and whatever else messes with your connection. It could also be a simple IP block because of a bad IP neighbour or a shared CGNAT server.
I tried via 3 different routable IPv4s from different netblocks. I tried the same browser on 3 different physical computers and OS installs.
I get that "It works for me." for some of you with non-corporate browsers. But please understand "It doesn't work for me." and it's not because I have some weird antivirus or packet mangling or a bad IP. It's because Cloudflare's heuteristics are biased against browsers that implement some, but not the latest, JS features. That's cloudflare and dreamwidth's fault, not mine, and they are in the wrong.
Blocking is bad by default and they must justify and adapt, not the users.
"It works for me" is as useless as "it blocks all non-corporate browsers".
It doesn't block all non-corporate browsers. It apparently blocks your browser, whatever that may be, running from your system, communicating from your network. I don't know what happened to make Cloudflare hate your browser, but my blanket statements are as useful as yours.
They seem to be blocking elinks from non-residential (server) networks. I don't know why so I don't know if it's warranted or not. With the amount of bots Cloudflare has to deal with and the extreme minority of elinks2 users, I can imagine blocking them is a worthwhile tradeoff.
Either way, Cloudflare only provides the defaults, the website operator is responsible for its configuration. In my opinion, a website should be allowed to inconvenience the long tail of weird visitors for any reason they want. I understand that you disagree, but you'll have to convince support@dreamwidth.org if you want to improve the situation, not me.
As for a more common uncommon browser, GNOME Web (WebKit) also works fine.
Whatever is causing you to get blocked, it's not the browser engine you're using. Check your plugins, antivirus, MITM engines, and whatever else messes with your connection. It could also be a simple IP block because of a bad IP neighbour or a shared CGNAT server.
[1]: https://github.com/awesomekling/ladybird
[2]: https://serenityos.org/