Perhaps anything, but probably not
"But this supposes Europeans are content with US standards of privacy and data protection. Perhaps they're not."
Anyone who thinks the average punter in the EU either knows or cares about this issue is insane. Anyone who thinks the average punter in the EU would not notice or care about Google being switched off is not just insane, but bouncing off the walls.
It's worth pointing out that it's not like the EU can actually do anything to the likes of Google, since they're not EU-based corporations. Sure, ban them - but since making it illegal for them to sell will have zero effect, you'll have to make it illegal to use their services, and anyone can imagine how well that will go down.
I stand by my prediction that France will become the first nation to have its government toppled by a mob of citizens enraged by Google/Facebook/whatever switching off services as a result of idiotic government actions.