Easy test to disprove standard FE map is to consider direct flight from Joburg, South Africa and either Sydney or Perth, Australia. Flights are as cheap as $500, so it isn't hard to prove to yourself. The flight Johannesburg to Sydney takes ~12 hr and covers ~11,000 km (according to round earth) for an average speed of about 900 km/hr. Flight from Johannesburg to Perth takes about 10 hr and covers ~8,300 km, for an average speed of about 850 km/hr. These are all expected airliners speeds, well within specs. If you use FE theory, the shortest distance from Joburg to Sydney is 23,650 km, which would give average speed of around 2,000 km/hr, which we all know is impossible for passenger airliner, since it is well above the speed of sound and would require completely different design (e.g., Concorde or Tupolev 144), none of which operates today. Flight from Joburg to Perth according to FE theory would cover at least 18,350 km, for an average speed of 1,835 km/hr. Again, an impossibility.
You can check distances using basic trigonometry.