Symmetric foils can still generate lift. It is a relative pressure thing. And on this sail, I doubt it is truly symmetric. The windward side probably gets deflected some.
Your keel and rudder are most likely foil shaped (mine are) and as you make leeway, the pressure on the leeward side of the keel is greater thus generating lift to windward on your keel. Since water is dense (relative to air), the lift generated by your keel is actually a significant contributor to how your keel helps you minimize leeway.
On foil shaped rudders, you also get an advantage in that the lift generated by the rudder when you turn it in the water helps you turn the boat without having to drag your rudder at such a large angle. A well shaped rudder adds boat speed in that you don't use it as a break to turn.