When turning my slow and light (and thus, very low on inertia) craft in pronounced steady wind, I certainly feel the effect of that wind, though I could not describe it.
But the wording of the question makes me doubt: "downwind" is one stage of the traffic circuit, are you discussing the effects of wind on how to fly the circuit? What exactly is meant by "a downwind turn", if not "a turn into the downwind section of the circuit"?