When this happens you get visible artifacts on your screen. Cross-color manifests itself as rainbow swirl patterns wherever there are closely spaced or fine vertical lines. It's also visible sometimes at the end credits of a movie with thin white lettering against a black background. You guessed it, this is called cross-luminance. However, it's probably more commonly called dot crawl.
Dot crawl occurs when two contrasting colors are horizontally adjacent to each other.
At the edge where the colors meet you can see a pattern of moving dots or sometimes just a stationary pattern. From farther away it can make parts of the picture appear to sort of shimmer in contrast to other places in the picture. Look at the red bow to the left of Usagi at her waistline. Subtitles are also prone to this problem because they tend to be bright colors which contrast with the colors of either the surrounding border or the picture. If you have a cross-color problem, you can try reducing your TV's color setting until the effect is reduced to your liking.