I have the recipe for a healthy kibble supplement that is made mostly of eggs. I thought you might find that helpful since it boosts the values of the kibble and adds extra nutrients. If you want the recipe, just let me know and I will post it here.
I home cook for mine and when I forget to defrost their food in time, I give them oats and eggs with a supplement. They love it and it is very healthy. I don't think eggs are bad for them, I would just keep the oil content of the scrambled eggs as low as possible and I would also use a good oil, such as olive, sunflower oil or canola oil. Sunflower and corn oil has omega 6 while canola, flaxseed and flax oils are good sources of omega 3.
Let me know if you want that recipe