Ships have not been sailing great circles for centuries. Where to people get this nonsense from and why do they decide to bring it to our hallowed forums?
Ships for centuries used this thing called wind. And so they sailed routes that gave them the best angle to utilise the wind. That depended on the direction of the wind, not the shape of the earth.
Now depending on the types of sails they had, they'd then pick a direction to best use it. IE they tacked. So, if you had large square sails, you can sail very well with the wind at your back (running with the wind), and trade route ships (that followed the trade winds, not the great circle) would sail with the wind right behind them. If you had a sloop, barque or other triangular shaped rigged vessel, you could sail into the wind effectively and very close to the wind, but if you had a galleon, you'd be sailing 45 degrees away from the wind to stand a chance of going anywhere upwind. This is one of the reasons pirates chose small boats with triangular sails. They could just turn into the wind and escape any large square sailed ship with ease. Pirates wouldn't sail downwind with a Frigate behind them because a frigate has a longer hull length and therefore likely a higher top speed and they'd get caught. (hull speed)
http://www.wavetrain.net/boats-a-gear/74-crunching-numbers-why-longer-is-fasterIf you'd like to know more about sailing or pirates, please feel free to ask in the non-flat earth part of the forum.