Interesting. I don't think I've ever seen a UK supermarket put eggs in a refrigerated section. They're always sold from a standard shelf.
They're always refrigerated in Denmark as well, usually in the dairy section along with the milk, cheese, and yogurt.
I'm also Romanian, however living in Hungary. Can confirm this for both countries. Eggs in supermarkets as Aldi or Lidl are not washed, possibly slightly cleaned before they receive a print stamp for the date of production.
Edit: The egg boxes are stacked outside of refrigerators at room temperature.