I'm currently just beginning my CPL training, but very close to the start of my flying, I was taught stall recovery. I understand that at higher speeds and altitudes, that high speed stalls can occur.
The AF447 documentary that I am watching says that a wing drop is something that to recover would require highly specialised training, which they inferred that the typical airline pilot would not recieve. Although they did say that that the pitot tubes were probably frozen over, which would make things a bit harder. Nonetheless, it seems, to me, in my initial flying training, that something like a stall recovery should be a fairly basic thing to be able to do.
My question is, are airline pilots taught advanced manual stall recovery techniques without a visual horizon?
Sorry, but you are the victim of media speculation and overdramatization.
High-speed stalls can and do occur. Almost none of them result in catastrophe. Recovery is the same as with lower-speed and -altitude stalls, though it takes patience because of the relative lack of thrust to recover airspeed and altitude.
Wing drop also can and does happen in any stall. Recovery is still the same -- reduce AOA with forward yoke, roll to wings level, recover from stall. It is NOT an "advanced" technique, but VERY basic!
We practice IMC stall recovery in simulators as a matter of routine training. ADIs and PFDs work quite well.