L/Dmax is not a function or weight, wind, or airspeed....it is a function of aerofoil. If the aerofoil isn't changing, drag polar stays the same.
That being said, wind will change your "speed to fly" based off how a tangent line intersects with the polar.
In very basic terms, you add 1/2 the headwind to your L/Dmax speed and subtract 1/4 tailwind...this is known as your speed to fly, talk to some glider pilots.