Oh, don't worry, the white birds will become flecked in brown and shades of what ever color the dirt is in no time!
Dirt baths just aren't the same for them after a rain, at least the blues, browns, and buffs can hide it really well. :p
My production leghorn lays up a storm of eggs. She laid...
Well, the brown leghorn will probably be just as flighty as a white leghorn. Mediterranean breeds are in general flighty really, but there are exceptions. I have white leghorns and they aren't that bad when socialized. They come up steal the food first, but generally don't like to be held.