Look at Tokyo-Newark vs Sydney,Austraila-Santiago,Chile. Look how much further Sydney is from Chile on your flat Earth map than Tokyo is from Newark. It makes no damn sense for those two flight to be so close in terms of flight times (~12h50m vs ~12h20m) if the flat earth pic was true. However, if you look at the globe, the distsances between the two sets of cites are actually comparable.
Furthermore, if you look at the flight route for the Sydney-Santiago flight you'll see that it doesn't even take the most direct route on your flat earth map (which would bring you closer to Mexico)
So if your flat earth map was true, the Sydney-Santiago flight would have you traveling a SIGNIFICANTLY longer distance than the Tokyo-Newark flight in a shorter amount of time. Makes no sense.