The EU is the world's largest economy, do you really want to shut your entire business out of that market?
What then happens if a competitor is established to take your former position in the European market - chances are they're not just going to stay in the EU. They're going to eat your lunch elsewhere too.
No, of course not by censorship. Through: fines for monopolist practices (happened to Microsoft), general smear campaign (happens to Amazon in Germany over working conditions), poking with a stick (the "right to be forgotten"), or just plain old taxes (the new "internet tax" is a current topic in the EU). There is always a way if you are determined enough. Politics.