as far as nutrition goes, it's what you feed the hen rather than the color of the egg.
38 years ago, the first Amish families moved into our area from the Middlefield OH region. They were quite used to Yankees asking strange things. The lady that lived next door to Stan's family was telling us stories about the strange things that Yankees ask (and being a Yankee, I paid attention so as to not be such an a$$). Clara said that the strangest thing anyone ever said to her was when a large woman in bright, inappropriate clothing came rushing off a bus and said in a very loud voice, "I want some of those brown Amish eggs! I must have some of the Amish eggs!" Clara pulled herself up to her full height (about 4'11") and said, "Madame, Amish do not lay eggs!"
