I always thought that segment was a little screwy on AO.
I remember it this way:
As fluid velocity increases, pressure drops. Pressure is caused by the collisions of the molecules of the fluid against the container. Temperature is a measurement of the random translational motion of the molecules. As pressure increases, so does temperature. Therefore, as fluid velocity increases, temperature decreases.
Or a more qualitative way to remember faster air=lower temp is that we pucker our lips before we blow on hot soup.