The “Rarity” odds assume that the monster dropping the ring is capable of dropping every unique ring in the game.Prior to v1.07 in D2C, the three unique rings dropped in a set order.
There are lots more ring graphics found on the game CD, and it’s unknown why Blizzard never enabled more of them, or gave any of the unique rings unique artwork. Ring graphics are randomly selected, and do not tie to any particular ring. Different unique rings were added in various patches. Unique jewelry can be gambled in Diablo II.