No, because the only thing the EU is gunning after is how easy it is to access the information. Easy to access though simple google search? Needs to be removed. Only found through searching through archives? Not a problem.
What happens when the search engine indexes the archive?
Why would there be a distinction between two different search services just because one is using a historical database?
Do they have offices in EU? The US has very strong freedom of speech rights. EU's are weaker. So it makes sense for them to only be based in the US.