I think John Hurt’s Doctor temporarily gave up his name in order to get “the Moment” and destroyed Gallifrey and Skaro and then regenerated, somehow getting his name back. The fact that we didn’t see the Eight’s regeneration gives Moffat a great opportunity to add something to the Time War story, which suggests that John Hurt is actually the Ninth Doctor (or not-Doctor). There’s probably more to it than that though. I wonder if he’s the old Valleyard. I’m not sure because I haven’t seen the “Trial of a Time Lord” episodes yet, and I’m not fully briefed on the Valleyard yet. Moffat clearly isn’t ignoring him seeing as he was mentioned in “The Name of the Doctor” when GI is listing out all the cruel nicknames the Doctor will get. Please feel free to correct me if I’ve missed something.
People have also mentioned that the current Doctor said “he’s not the Doctor” which was shortly followed by the words “Introducing John Hurt as the Doctor” coming on screen. That was either intending to be funny or a strange mistake.