You don't need to refrigerate eggs but it is a good idea. If you don't refrigerate them they are more susceptible to bacteria (salmonella).
Some people eat raw eggs. You think refrigeration is going to help them?
Israel doesn’t refrigerate their eggs. I lived there for a few years, and had horrible reactions to them. As a result I didn’t eat eggs for many years, even after moving back to the states, until I realized that a possible reason for my troubles was the lack of refrigeration. Have been eating eggs for the past few years in the us, and thank gd, no negative reaction.