I think people on here are getting the wrong end of the stick, they aren't saying there's no benefit from a tail wind, they're saying that if you cycle a round trip the tail wind that helps you one way has less effect than the head wind that hinders you on the way back. Unless you're doing a one way trip the overall effect of a wind is always negative.
That's what the suggestion is challenging, and I think they're right.
Because
1) drag goes as the square of the apparent wind* then
2) total energy expended = distance * drag integrated over the ride
3) A tailwind on a descent will reduce that total energy because the effect is the square of the apparent windspeed.
However, as others have noted, this assumes you don't brake during the descent. It also assumes that the wind is exactly in line with the course, and the course is exactly straight. In the real world, neither will be true, and sidewinds will net increase that drag (again, because of the square effect of drag).
*apparent wind means the wind you experience ie a tailwind of your exact speed = zero apparent wind