I am a breeder of paint horses and colored horses and it always drives me crazy to hear people say that!!! There is NO REASON why you can't breed for color and have all the other things too! All you have to do is decide what you want, be it a paint, palomino, buckskin or whatnot. Once you find the color or type pattern you want, you then check out the stallion for conformation, personality, athleticism, pedigree etc. If he doesn't have it all, don't breed to him and keep looking.
For example, go to a website such as horsetopia.com equine.com, dreamhorse.com etc. put in the color you want, put in stallion, then keep researching from there.
Now, I would not breed to a stallion based solely
on color, but there is no reason why color should not be part of the criteria.