We don't know what to what fraction that peace movement ran on being propped up by KGB. Those things are not mutually exclusive, genuine protest and getting propped up by a foreign power just for destabilization and giggles.

Just like that Red Army Faction group whose name in hindsight was much closer to the truth than anyone really assumed at the time. At least at some point it clearly was a KGB operation (visits to a certain Dresden office are documented, and yes, guess who was also stationed in Dresden at the time), likely not from the start but quickly co-opted. KGB, as in the service that was built on the experience of how Germany solved their eastern front in WWI through organizing passage from Zurich for a certain dissident.

Yes, those movements were genuine. But they were also directed to some extent. The fictional Tischbier character in Deutschland 83 comes somewhat close to illustrating that ambiguity.