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As for websites, some countries could just block a US website that doesn't comply with local regulations (e.g. China, Iran, Myanmar, et al.) and this has happened numerous times. But the EU? Having already reached a free speech society? Censoring a US website on the grounds of non-compliance with arbitrary one-sided demands would be at odds with their own established bill of rights.
Google said "to hell with it" to China and got blocked. But what if they did the same to the EU? I don't think the EU could block a website without causing serious upheaval from their own citizens.