Have you discovered that you have an allergy or something? That would be the only read on for skipping out on them in my mind, unless you lack a good source for fresh eggs that is.
Ketosis for me is as it is. If I get into it, great, if not, oh well. I tend to go in and out in cycles relating to my daily fast and single meal. Some days I'm in it deep, other days, I'm not in it for even a minute.
I stopped eating eggs a while back. The chickens stopped laying. I never bought any eggs to make up for the lack of laying. I will eat eggs now and then, just not every day anymore. I do seem to have a little less post nasal drip from not eating eggs.
Female, 5'3", 50, Starting weight: 163lbs. Current weight: 135 (more or less).
I can squat 187.5lbs, press 75lbs and deadlift 200lbs
65lbs gone and counting!!
Fat 2 Fit - One Woman's Journey
You mind might be a little clearer and your energy a bit more stable when in ketosis though so those may be slight signs.
(Actually, a pratfall into NZ wouldn't be such a bad thing. It's very nice there. And they have LOTS of lamb, nom nom. I have never seen SOOO many sheep in my life, and all so clean and white and cute and delicious-looking.)
I have the simplest tastes. I am always satisfied with the best.