Which leads to the implication that Hurt's Doctor never encountered the Cybermen.
But does it mean Capaldi's and all subsequent Doctors never encountered the Cybermen either?
This is the problem with a time-travel series. The villains always have information about the Doctor's incarnations based only on the real-world history of the series, rather than the in-universe chronology. For instance, the Cybermen in "Earthshock," set in the early 26th century, inexplicably have footage of the Fourth Doctor from "Revenge of the Cybermen," set in the 29th century; but they don't have footage of the Sixth Doctor's 1985 encounter in "Attack of the Cybermen" or the Seventh's 1988 encounter in "Silver Nemesis." So the in-universe chronology is, by necessity, inconsistent.
Heck, "The Next Doctor" was set in the 19th century. Chronologically, it's the earliest of all the Cyberman stories up to that point -- so really the Cybermen shouldn't have data on
any of the Doctors yet, except maybe the Eleventh, whom they encountered in Roman Britain in "The Pandorica Opens." But then, why would they have been part of the coalition against the Doctor when, chronologically, they'd never encountered him before?
So ultimately one can't take these things too literally. The only explanations are metatextual -- the characters know what the audience knows. In any story, the universe is populated only by the Doctors that have existed onscreen up to that point. Well, with two canonical exceptions that I can think of: "Battlefield," in which the Doctor learned a future incarnation of his would be Merlin in an alternate reality (actually the Eighth, according to a Peter David story in
Short Trips: The Quality of Leadership), and "The Day of the Doctor," in which we catch a glimpse of Peter Capaldi. (And kinda sorta "Logopolis" with the Watcher, but since Davison debuts in the same story, it doesn't really count.)