Native born German. Calling BS on that crap.
I recommend reading up on "freedom from" vs. "freedom to". Explains quite a lot of differences between the European tradition of ensuring people are "free from" an potentially oppressive state vs. the US tradition of "freedom to".
In each "freedom of speech" index I know, Germany fares better than the US, or Britain, or Australia. Or quite a lot of different countries tbh.
RSF World Press (lower is better): - Germany 14/180 - Britain 18/180 - Australia 33/180 - USA 64/180
Freedom House (higher is better): - Germany 95/100 - Britain 92/100 - Australia 95/100 - USA 84/100
Edit: Typo