So the best thing someone can come up with, is that the map, which is from your site, is inaccurate? Even if it's wrong, you still say that we travel in a curve around a disk. This is a much longer distance than straight across, and yet some how, we manage to make this trip in less than half the time? How is that? That's my question.
Question still stands, and no FE'r is really touching it.
You say that circumnavigation is actually use traveling in a circle on a disk. If that's correct, and the diameter of this disk is 24,900 miles, like your site claims. Than to get from Sydney, Australia to Buenos Aires, Argentina on this route would far exceed the roughly 20,000 mile "short route" across the North Pole. Yet, the trips takes only 14 hours at a speed of 530 MPH.
Did some more of that bothersome math. Using the map you have on your site, the Google Earth program, and the 28,900 mile measurement you say is the Earth's diameter, I've estimated the straight line, over the North Pole, distance between Sydney and Buenos Aires to be roughly 17,118 miles. At 530 MPH, that would take 32 hours. A little faster than my earlier estimate, but pretty close, and still more than double the time of the actual flight.
Still waiting for someone to try and explain this, but something tells me it's going to just go ignored.