This is not correct, according to the states, and generally seems incorrect as well. The "bloom" on the outside of an unwashed egg protects the insides. In the US, eggs sold in grocery stores are washed so they have to be refrigerated.
https://www.fda.gov/food/buy-store-serve-safe-food/what-you-need-know-about-egg-safety
https://www.fsis.usda.gov/food-safety/safe-food-handling-and-preparation/eggs/shell-eggs-farm-table