There is nothing that states anything I said, but every time Shared Vision has been shown in the manga, it was when Nagato or Obito were using the Six Paths of Pain and Animal Summons, who are all being controlled via the Nagato/Obito's Rinnegan.
On the other hand, there is little to no evidence that Shared Vision occurs with each eye in one pair.
-Madara didn't know what was going on in Kamuiland, he only knew that Obito was in there with his eye, and he told Sakura that he won't let her once he had already warped in.
-Zetsu can all communicate with each other, and Black Zetsu (being Madara's will) can communicate with him telepathically.
It also doesn't help that Shared Vision only occurred with one real Rinnegan and the projections of that Rinnegan on the Animal Summons and the Six Paths of Pain, not with two real eyes.
Not only did that occur twice for Obito and Kakashi, Sharingan and Rinnegan being related isn't strong enough evidence to say Rinnegan can do the same, especially since they aren't the same Dojutsu. The exact relation between the two is still unclear anyway.
