I did receive a reply from someone who doesn't believe the earth is flat but is open minded and likes to play devils advocate. He wrote the following...
But that uses data about how quickly the planes are flying. If the planes were flying at different speeds they would be perfectly possible. If flat earthers don’t trust anyone who says the earth is round there is no way they would believe the data about how fast the planes are flying!
Well the southern hemisphere planes would need to be flying at over 1,000 mph (1,600 kmh) for that to work.
I think he is right.