Note, that illustration (Tux_ECB) is demonstrating a different problem—ECB cyphers may expose patterns across blocks—rather than reused one-time pads. One-time pads will always produce random images as their output.
Eh, it's sort of the same? You can imagine each pixel as its own message: the point is that repeatedly transforming things in a consistent but "random" way isn't actually random. The ciphertext of each pixel is "random", but the pattern when looking at all the pixels is clear.
