Nope
Flights from Sydney to Santiago do not go closer than a few hundred kilometres of the antarctic ice wall. They definitely do not fly close to the southern "pole"
The flights are dooable. There is a long discussion regarding Max Igan's verified flight from Sydney to Santiago vs wind speeds close to Antarctica. There is actually a return wind that runs in the opposite direction at higher latitude. So your post is by no means a debunking of flat earth.
In fact there are so many darn proofs for flat earth, that i would like to see the Globlings give up on their NASA fanboy fantasy.
RE: Flight Times Debunk the Flat Earth Hypothesis