I'm not a scientist or academician, but I'll add my 2 cents. Feel free to shoot me down if there are any flaws in my logic. When taxiing on a runway, the pilot is increasing ground speed through engine thrust to the point that the wings and flight control surfaces generate enough upward lift for the plane to take off. If the runway was a giant conveyor belt then if it was moving in a forward direction that would shorten the takeoff distance by incrementally adding to the plane's ground speed. Conversely, if it was moving in a reverse direction to the plane, it would lengthen the takeoff distance (as measured by distance travelled on the BELT). The only way that the plane would stand still is if the conveyor belt could precisely match the ACCELLERATION of the plane in reverse, because a plane taxiing does not move at a constant velocity.
Shoot away while I duck for cover.
EDIT: Think of a person running on a motorized treadmill: no forward air speed, no liftoff.