I don't know who ZDF is, who owns them, or if they ownership normally leans one direction politically or another
https://en.wikipedia.org/wiki/ZDF
It's a public broadcaster, non-profit, sustained partially by federal funds from mandatory broadcast fees each household has to pay. That means it's supposed to be neutral, but obviously full neutrality is difficult.
Still, given the episode the songs was supposed to appear on was about political radicalisation and defensible democracy, and given they had no issue with most of the song except the part that might make them look like they're advocating for political violence, I think it's fair to say that they don't inherently lean right.