Would that be flights with one or more stops, where total time includes waiting? Because the overseas-only flight from Johannesburg to Sao Paulo takes only nine hours (though I'll give you that that's in Brazil). About as much, in fact as the flight from Johannesburg to Perth, Australia. And that one doesn't fly over India either.

So no, the above projection looks great for the North Hemisphere, but as soon as flights further South are accounted for, it appears they're moving in rather counter-intuitive arcs. The best example would be the Sydney-Santiago direct, which manages to span half the circumference of the "disc" in thirteen hours. Now, I realize both Australians and Chileans can make even a garbage truck fly with enough bubble gum and duct tape, but even they aren't that inventive.