Board Thread:Series general discussion/@comment-5088097-20170624223327/@comment-28601337-20170628083551
Eagle Vision evolves with practice for all the Assassins, not just the Frye twins, though this isn't shown as a gameplay mechanic in the other games. For example, Altaïr's Eagle Vision in Revelations is shown to be the same as Ezio's. Ezio's Eagle Vision definitely evolved throughout his life such that he could track scents as well and target's routes in Revelations. Ezio's Eagle Vision does not, however, lend him the ability to "see" through time. That ability is provided through Pieces of Eden, like the Apple, and was how Altaïr was able to create the Hidden Gun.
Also, Arno had the special ability to see the memories of his targets upon killing them, though I guess that wasn't Eagle Vision.
As for Animus Pulse, I want to point out the name seems to be derived from "Eagle Pulse" though, which was the original name for Arno's Eagle Vision in gameplay trailers.
I'm fairly certain that Bayek's synergy with his eagle is meant to be an ability called Eagle Vision. The question is whether it's meant to be the same as later Eagle Visions, manifested differently, or an entirely different ability that inspires the name of the later clairvoyant ability.