No. Unwashed eggs may have muck on the surface. Germs can't enter the egg while it's dry. That's essentially both sides of the game, there. Putting a mucky eg

No. Unwashed eggs may have muck on the surface. Germs can't enter the egg while it's dry. That's essentially both sides of the game, there. Putting a mucky egg in a moist environment (like a fridge) provides a transmittable medium. Doesn't matter that it's cold, it's not cold enough to kill (eg) salmonella. That enters the egg and may be a significant enough volume to cause its consumer problems.