Special photographs often depend on the perspective from where the shot is taken. The image that captures curves or disappearing paths is a way to break out of the typical rectangular shapes of most photos in a collection. It can accentuate depth. They entice the viewer to look deeper into the image, and, in general, will just be of more interest.
In the accompanying photographs, notice how the curve or the path pulls your eye. Also, notice how the curve or the path is located within the central portion of the picture. In essence you are taking a picture of the landscape feature, letting it be the central image of the photo for your photo collection story. Framing is still important but not as structured. More often foreground plays a more important role in the end product. Here are a few images that try to demonstrate the point.