It's not a narrow and pedantic difference at all! It's the entire thing!
You seem to be under some mistaken impression that you can say whatever you want whenever you want in the United States. You can't. There are many categories of speech that are banned in the US as well: if I think to myself "Tom Smith is a liar and a drunkard and he's cheating on his wife", that's perfectly fine, but if I communicate that to a large group of people in order to stain his reputation, that's illegal.
See the difference? In neither the US nor the EU is thinking things illegal, but in both countries, expressing stuff can possibly be illegal. It's true that the US and the EU has slightly different categories of banned speech, but that's a difference in degree, not in kind. but neither region has anything close to "thoughtcrime". You have a poor understanding of these issues if you think that is the case.