I am not sure whether it is about the EU per se. It seems to trace more to the nowadays highly toxic questions of free speech and alleged censorship. Although much of values and rights are shared across all Western countries, the freedom of expression has always diverged between the US and the rest. Of course, they have a right to point out that this freedom is (slightly) restricted in most European countries. Personally, I've never quite understood the obsession of many Americans on this particular right, given that there are so many other important rights and liberties in the Constitution.

EDIT: While someone with a background in comparative legal analysis would be needed for a verification, I could also posit a hypothesis that both the EU's Charter and the national constitutions of most European countries grant more rights than the Constitution. That said, more is not always better from a constitutional law perspective, as the reform proposals in Chile clearly have showed.