A 24mm film lens on a 1.6x body would be a 38.4mm equivalent field of view, but it's still a 24mm lens...
I totally agree that a 24mm lens is still 24mm whether it is on a full-frame camera on a 1.6x crop camera. The image on the crop camera is simply equal to a portion of the full frame 36mm x 24mm image cropped to 22.5 x 15mm. See:
http://www.the-digital-picture.com/Canon-Lenses/Field-of-view-crop-factor.aspx
HOWEVER: The perspective of an image is not dependent upon the focal length used to shoot that image; rather it is dependent upon the lens to subject distance.
As an example:
For head and shoulders portraits:
If I were using a 50mm lens to fill the 22.5 x 15mm frame of a 1.6x camera, I would stand approximately 8 feet (2.44 meters give or take) from my subject to fill the frame with the head and shoulders portrait.
However, if I were to fill the 36mm x 24mm frame of a full frame camera with the head and shoulders portrait, I would shoot from approximately 5 feet (1.52 meters give or take) from the subject to fill that frame with the head and shoulders portrait.
This difference in distance would change the perspective of the portrait. The portrait from 5 feet would be more exagerated (longer nose, etc.) than the portrait shot from 8 feet.
Sure, if I shot them both from 8 feet (2.4 meters) and cropped the 22.5 x 15mm image from the full frame - the perspective would be the same.
HOWEVER, I WOULD NOT DO THAT... I normally fill the frame with the image that I am shooting.
So in reality, on the 1.6x crop camera, a 50mm, in normal usage, provides the perspective of an 80mm lens on a full frame camera.
A photographer will most often shoot an image using a 1.6x camera from a farther distance than the photographer would if shooting with the same focal length lens on a full-frame camera. Thustly, the perspective changes....