Commercial flights in the southern hemisphere?
Here is a plan of the route of Qantas flight QF28 (Santiago to Sydney), a regular route, this one from July 2015. It has a planned flight time of 13 hours 27 minutes and a planned distance 6347 nautical miles.
Except of course it can't do that, because according to you, the route would be, what, three of four times further than that?