Eggs that have been washed (i.e. had the cuticle remove) should generally be stored in the fridge or used very quickly. Eggs in either case shouldn’t generally be moved from refrigerated storage to the counter unless they’re going to be used very quickly because the condensation can do bad things.
I don’t eat eggs but my spouse does store them on the counter. Fresh farm eggs don’t need refrigerators.
Eggs that have been washed (i.e. had the cuticle remove) should generally be stored in the fridge or used very quickly. Eggs in either case shouldn’t generally be moved from refrigerated storage to the counter unless they’re going to be used very quickly because the condensation can do bad things.