Yes!
Looking at the GridHDG and the True HDG diplayed, they either just overflew the Northpole, heading south or they are flying towards the Southpole. They must be close to 180 E/W, telling form the difference of grid and true.
Looking at those waypoints (from: HM65S, to: HM70S) it looks like they are approaching the Southpole (actually passing "left" of it, I am not sure if "east" doesn't stop to make sense so close to the pole).
As I have never even heard of these waypoints, I beleive those guys must be flying as far away from Europe as possible; they must be Aussies or Kiwis going to Capetown, maybe. My guess is 3-4 hours into the flight.
And the sun in the south? It must be right over the pole, or close. So I'd give it a dec/jan estimate.
So who flys an A340 down there?
Nic