Probably the most compelling argument against eating eggs is that, the way they are produced today, they cause superbacteria. Around 70% of antibiotics today are used in the egg industry, directly causing antibiotics resistance in chickens, and many bacteria that attack chickens attack humans as well.
Around 0.5% of antibiotics today are used in plant agriculture, almost all of them in vineyards. The way grapes are grown today also causes superbacteria (less than egg industry, sure, but still a lot) because antibiotics stay in the ground forever, causing superbacteria forever. And it's just a matter of time before the genes for antibiotic resistance in bacteria that attack plants spread to the bacteria that attack humans via horizontal gene transfer. The problem with bacteria is that they can conjugate with their rather distant relatives. It seems to me that, if you are worried about superbacteria, you should not drink wine, for about the same reason you should not eat eggs.