Do you mean “censorship by the EU” or “censorship within the EU”, or both? Because I see a lot of the latter, and I don’t find it inconsequential at all.
By the EU and in Germany, really... What is censored in other member states isn't in the news, but for all I know it's also not much and not important.
The whole EU censorship rhetoric is almost always devoid of facts and examples. I feel like it is mainly sustained because US people like the narrative that theytl are the free(TM).
Asking innocent questions often works better than confrontation, but yeah, this elevated importance of utmost free speech doesn't survive the Atlantic crossing and can be used to maliciously pooh-pooh Europe to an American audience.
We don't have a lot of "censorship within the EU", some russian propaganda tv channels might be blocked (as they should) but that's about it really. Now if you mean in a particular EU member, that's different but it's not impacting the whole EU.