The post seems skip explanation of what Cloudflare's involvement is?
cloudflare hosts the attackers.
No, they provide DDoS protection, but the actual servers are likely hosted on some random VPS somewhere.
Edit: I now realize gruez meant the beamed.st site itself is behind Cloudflare DDoS, completing the loop to explaining what Cloudflare's involvement was :).
Am I missing something on how to see more of the original post perhaps? As a sanity check I did a ctrl+f on "hosts" on the page and didn't get a match but I suppose that wouldn't help if I'm not in the right place to see the rest of the content.