The old folks around here never refrigerated eggs. And I know for sure they don't in Europe. They keep longer if refrigerated, but they keep fine for a while at room temp. Store bought eggs are around 6 weeks old at exp. date, I understand.
Mother Earth News did quite a study on storing eggs a while back.
And some people leave eggs at room temp for a week before hard boiling, to age them a little, to make them easier to peel.
Heck, people have hatched eggs that had been in the refrigerator for a week, maybe longer.
If you usually eat them within a week or two, I see no problem leaving them out all the time.