You're talking about the basic article on Egg Yolk Antibodies, right?So, I read this and it actually proves my point that chicken produce a lot of antibiotics and they do use chicken eggs to cure numerous ailments including neutralizing venom. They do not state that they inject the chicken or do anything with the egg.. so I am still not satisfied with your hypothesis that they do and I am just not seeing the proof in the article that they did do that..
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7106195/
(Link given again here, to be sure you and I are both talking about the same thing)
They DO inject the chicken with something:
"The antibody titers are influenced by several factors, such as the antigen type and dose, the used adjuvant, the route of application, the inoculation frequency, age and stage of development in birds [39,40]. Several protocols for obtaining IgY, observing these different variables, have been applied [1,39]. Basically, multiple immunization protocols were tested for different antigens and animals, in order to obtain the highest antibody titer for each case [1]."
Picking through that techno-babble, it reduces to: they always "inoculate" the chicken who lays the eggs, but they inoculate her in various ways, at various ages, for various different diseases, and all those differences make somewhat different results. The last sentence of the quoted part is easier to understand than the other parts of that quote.