1. Censorship in German constitutional law is only defined as the state pre-screening before publication. That's a very narrow area and rarely applies. Most people from an US legal tradition will consider censorship to include other things such as mandating removal of certain content after the fact, but that's different legal branches with different mechanisms (i.e. libel).

2. What Schulz is talking about in the second link definitely is state censorship (blocking a TV station), but it's not implemented by Germany but on the EU level. (Germany is still involved - complicated matter).

Finally we should appreciate that the US government's opinion on censorship seems to have pivoted quite a lot, so I would expect free speech maximalism to not remain a very popular position on the government level (even though many people may still support it, either naïvely or with robust arguments).