In the Frank Lloyd Wright houses in Chicago, it's not about the bricks per se; rather, it is with the mortar courses in between.
Frank Lloyd Wright famously insisted that the VERTICAL sections of mortar be colored to match the color of the adjacent bricks. The horizontal courses were usually left "white", to contrast with the red of the bricks above and below.
He does this in order to increase the sense of HORIZONTAL MOVEMENT in the architecture (an idea he sort of adopted from traditional Japanese architecture).
You can see excellent examples of this in Chicago. I post a few examples, taken from flickr.
Robie House 1909 (University of Chicago). Notice the strong horizontal movement.




Heurtley House, 1902 (Oak Park). Notice that the same principle is also applied to the mortar courses in the archway.

