It has been a very long time since I interacted with a webring. But my memory is that the webring link on a page in the webring should take you automatically to another page, not to some main index page which is what seems to happen here. Is this the correct behavior and I am just misremembering?
At the beginning, that's how it worked. Each page would link to the next page in the ring, with the last one linking back to the first one. You can probably see how this might be inconvenient.
At the height of their popularity, the webring snippet would link to the previous page, the next page, a random page, and the index.