so if you tried to take a taxi from new york to los angeles, the cabbie wouldn't notice?
oh, and flying an airplane is much more complicated than driving a car.
i've read that one of the tests pilots must take is "the bag": flying with the windshield COVERED, entirely dependent on the navigational instruments.
don't you think someone would notice if ALL NAVIGATIONAL INSTRUMENTS were inaccurate?!
also, the most common map is the "mercator projection" map, which makes the equator look like a straight line, which doesn't really fit either model.
one more thing: for a short trip, say 50 miles, it wouldn't matter which kind of map was used. but for a 2,000 mile trip...