I noticed this bug a while ago, but never got round to reporting it, though I think others have. However, it's still doing the same thing, so I'll report it now.
I'm using Google Chrome, though I just tried both Firefox and IE in case it was a Chrome bug, and the same happens there too. Pretty sure it's not just on this computer either (currently using my work PC), but I'll check on my home PC later, and update here if the site works at home.
Additionally, sometimes when I switch between the character and guild pages manually, using the links at the top, it forgets what info I had put in last time I was on that page, and resets the realm to Shadowsong, and the character/guild name to blank. Sounds like a cache/cookie error, but my browser's settings are suitably permissive.
It used to work fine for me when the character/guild/realm tabs were all part of the same page, so you could switch between them without loading a new page each time, though I realise there were downsides to this approach too. Anyway, too late to say that now! ;-)
Would be cool if you could get it to work again, 'cause I used to use this site a lot before this bug started happening, but it makes it a bit too cumbersome to use it for quick comparisons, etc at present.
EDIT: Slight amendment - this only happens when the "Live" box is checked on the guild list (which I always do, cos my cache never seems to keep up-to-date info for more than about 5 seconds, and reverts to an older cache for some reason every time I revisit/refresh the page.)