Anthony,

Adding area to the leading edge of a wing, as with the droops, does increase the stability during slow speed operations. The droops actually do three things... one, they add area to the tip of the wing. Two, they induce an aerodynamic washout to the tip. Especially if the leading edge of the droop is forward and below the leading edge of the wing. Three, again if they're forward and below the leading edge, they create an undercambered cross section at the tip. All of these benefits aid in allowing the tip to continue producing lift at high AOA's, even as the root has reached and passed it's stall angle. Take a peek at an airliners leading edge during take-off and landing. The entire wing morphs into a huge undercambered high lift structure.

Craig