I used to refrigerate my eggs until I was visiting a family who recently moved here from Mexico and I noticed that they kept their store bought eggs on the counter instead of the refrigerator. Yikes! They probably thought US eggs are like the fresh eggs they were used to at home. That got me thinking.... I realized that in a lot of countries, refrigeration isn't that common or probably wasn't common until more recently. People all over the world have been gathering fresh eggs for centuries and storing them at room temperature. Even my grandparents didn't have the convenience of hot water at the tap or antibacterial soap in the old days, and refrigeration if they had it, was an ice box. Well, they lived.
I realized that nature's solution for dealing with bacteria spoiling an egg was the bloom and it obviously works. It has to work, or the egg left under a hen would spoil and you wouldn't have baby chicks, right? So keeping your eggs on the counter has worked for centuries... Until egg farming in the US became an industry and they had to wash and refrigerate them before shipping to supermarkets to feed the masses.
So enjoy you fresh, naturally sealed eggs. I think they also lose their consistency after refrigeration.
Lisa