How Would You Like Your Eggs?

Just making note here to all of the references to eggs and egg whites. The twins are repeatedly referred to as "Two-egg Twin Ambassadors", "two-egg twins", and "unidentical two-egg twins" (133, 190, 208). Estha's hair puff is compared to fluffy egg whites as well. All of these 'nicknames' must have some sort of implication, right? My guess is that there could be multiple explanations for it. One is possibly a reference to sex and sperm, seeing as during the scene in which Estha is molested by the "Orangedrink Lemondrink Man, Estha compares what is on his hands to sticky egg-whites. This illustrates that, no matter how mature and grown up Estha strives to be, he is still no more than an innocent child. This reference to egg-whites indicates a sort of constant innocence of the twins in their situations throughout the novel. Things happen to them that they, for the most part, have no control over.
Another message the eggs could be expressing is the closeness of the twins. Although they are "two-eggs" and "unidentical", the eggs came from the same place, and they will always be, in some sense, connected to each other in that aspect.