Please stop spreading misinformation. The Federal Constitutional Court decided in 2014 that no more than a third of the members of each Rundfunkrat can be chosen by the state or by parties. Also, not all party representatives are representatives of a governing party. The ZDF Fernsehrat has representatives of each party present in the Bundestag. Two thirds belong to other groups such as churches and unions.
For the state-level Rundfunkrats, the federal government is obviously irrelevant.