In the US eggs are washed prior to being packaged for sale, so they must be refrigerated. Elsewhere (and in the US with yard eggs/local eggs) i guess you wash before use? I wash yard eggs because they were on the ground.
I rinse the ones that I see stuff on, but otherwise don’t worry about it.
But I still refrigerate them immediately after getting them home even if I think I’m going to use them quickly, because some habits are impossible to break.