I don't have a horse in this race outside of general skepticism of official numbers (though inflation is particularly difficult to fake since you can literally just buy/assess the basket of goods the figures represent yourself), but I don't think this is the rejoinder you're looking for. Eggs went from 0.975 to 3.587, a 3.68x increase. CPI went from 1.69 to 3.23, a 1.9x increase. So the price of eggs increased 93% more than nominal inflation.