The wikipedia article seems to concur with you, although this seems to be a voluntary policy by CUII, the members could still decide to not wait for any court orders and block whatever they want.
> Daher habe die Bundesnetzagentur die CUII gebeten, die Überprüfung mutmaßlich urheberrechtsverletzender Seiten künftig gerichtlich vornehmen zu lassen.
this is not a requirement, they're just asking. The BNetzA just wants to not deal with it apparently.