Tufte points out 1 + 1 is 3 or more visually. The two lines create two elements, then the space is another, then the space on either is potentially another.
Interesting point of view. Choices of style apart, there are situations where textures are useful. Like for example the case faced by swayvil (see the comment), or when you need b/w printable images.
Another good reference is "Semiology of Graphics" of Jacques Bertin, he has a good opinion about textures.
"Semiology of Graphics" is a great book, but this was published in the 1960s when those graphs where drafted by hand and color printing was probably not an option.
I am ignorant as to what tools a draft-mans hand for shading then, but I am sure hatching would be easier than creating a fine range of halftone grays.
> Can optical art effects ever produce a better graphic? Bertin exhorts: “It is the designer’s duty to make the most of this variation; to obtain the resonance [of moiré vibration] without provoking an uncomfortable sensation: to flirt with ambiguity without succumbing to it.” But can statistical graphics successfully “flirt with ambiguity”? It is a clever idea, but no good examples are to be found. The key difficulty remains: moiré vibration is an undisciplined ambiguity, with an illusive, eye-straining quality that contaminates the entire graphic. It has no place in data graphical design.