Maybe it's my weird browser that Discord doesn't like? Nope, mainline Chrome does the same thing. Just a hell of CAPTCHAs. Open invite link "are you human?" Fill out CAPTCHA. Click "Accept Invite," get another CAPTCHA. *During* the accept process, I guess, check it out buddy: I still think you might be a robot, have a CAPTCHA.
Finally get in and... Messages Failed To Load.
I have no idea how anyone can use this at all, much less like it.