I don't know anything about eggs in particular, but dogs do eat raw stuff in the wild. Think about what a basenji would eat in Africa… you can guarantee nobody is cooking their catch for them. Lots of people feed raw food and swear by it. I would if I could afford it. Again, I don't know about eggs, but raw meat is what they are designed to eat.
I occasionally give my Basenjis raw eggs which they love and with no ill effects. My Anatolian Karabash was raised on raw eggs only for the first six months with me. They were the only things that she would eat. They never did her harm and I'm sure saved her life as she just would not eat anything else at all.