My brother in law is a small-scale farmer in Wales and produces chicken and duck eggs. I've previously discussed egg washing with him.

My understanding from such conversations is that eggs in the EU are definitely not washed.

Supermarket caged-hen eggs are generally clean in appearance due to the lack of items that might otherwise stick to the them.

I have found free range supermarket eggs, on the other hand, to sometimes have small features stuck to them.

I'm not sure what accounts for the generally clean appearance of supermarket eggs. Maybe eggs are brushed in some manner to remove obvious dirt. But the washing of eggs is certainly not a legal practice in the EU.