The only difference is the color, if the hens are fed the same the eggs inside the shell will be the same quality. Chickens are birds and every kind of bird out there lays a different color egg.
Although, my husbands moron of a cousin used to get eggs from me and he HATED the green ones. He said that something "wasn't right" about green eggs. They are eggs on the inside, just green and blue on the outside. Very pretty actually. But, he only wants C*H*E*A*P eggs, so mine cost too much. Right now they cost 11 cents more than the grocery store. That's just too much for him. Actually I don't miss having to argue with him over the price of chicken feed anymore.
....but I will admit that once he told me about how horrible green eggs were, well, um, a lot more green eggs found their way into his carton of a dozen eggs each week..........