Fun fact, unlike the rest of the EU, sweden does wash almost all its eggs. Unlike the United States, Sweden has very strict rules regarding how that wash is done though, and the eggs does 't loose their membrane.
In the EU washed eggs are generally illegal to sell outside of the country of origin, Sweden is granted an exemption from that rule due the gentle nature of the wash.
Counterexamples only go so far. What you really need is counterexamples, and an analysis of their implications, including a probability study.
In other words, well, science.