I am not going to try and convince you.
What I know is that my veganism is done for multiple reasons. Primary reason: Ethics. But for me, veganism is also a public act; thus it is political. I am concerned more about the freeing of all animals than just about my "purity", however, I think that classifying animal products as "not food" is part of freeing all animals.
The activity of avoiding animal products only does minor change to the marketplace, but calling myself a vegan and being consistent in my activity of avoiding all animal products is a political action which helps change culture when I engage culture. It is similar to my work (union organizing) when I am an organizer 100% of the time. If I do something that is anti-solidarity in my spare time, it will affect my work as an organizer when I am paid for it. Consuming unneeded eggs, or any other animal product that would otherwise go to the garbage (a dead human, uneaten animal flesh in a restaurant dumpster, non-human roadkill, etc.) might not harm anyone, but it is a political act to not do it. Avoiding animal products makes a statement that animals are not for human food or abuse. Public and community reactions aren't based on reason, and the slippery slope of an otherwise ethical vegan eating "special eggs" makes it "OK" for others to simply eat eggs.
You and I do not need eggs to thrive, just as you and I don't need to eat roadkill, or dead relatives, or pets, to thrive. We don't eat dead humans to be efficient, even though there would be no harm to anyone from eating a dead relative (as long as the flesh is cooked thoroughly and spinal/brain tissue were avoided), but there is no argument about eating dead humans because otherwise it would go to waste in a ritual for the dead. As far as I am concerned, dead humans are not for eating, just as roadkill, or a slaughtered farm animal aren't food. The same goes for cow milk, human breast milk not given voluntarily, eggs (of any animal), or anything not explicitly given to me that I do not need to thrive.
It would be different if you needed the eggs to thrive. If I am freezing to death, then what I "need" is different, and I might use the skin of a naturally expired animal to survive. Heck, I wouldn't blame someone for using human skin in such a situation. It would be gross and macabre, but ethically fine with me. However, we are in no such situation 99.99999~% of the time, and thus, using animal flesh which would otherwise go to "waste" is politically inconsistent with veganism for me. The public act of using animal flesh as clothing is anti-thetical to animal liberation.
That's why even if eggs go to the waste basket, they are not food to me. Unless you are starving and near death, and there is nothing else to eat, where pica seems like a good idea, then eggs are not food. From your posts, it just seems like you want license to eat eggs for recreation, pleasure, when they are not needed at all nutritionally.
That license, you will not get from me. Eggs are not food.
"The worker has the right to leave his boss, but can she do it? And if she does quit him, is it in order to lead a free life; where she will have no master but herself? No, she leaves to sell herself to another employer. She's driven by the same hunger. Thus the worker's liberty is only a theoretical freedom, lacking any means of realization; an utter falsehood."