The phrase 'pulls strings' is typically used to refer to someone who has a great deal of influence and power in a particular situation, often using their connections to achieve their goals. Antonyms for this term would be 'powerless,' 'ineffective,' or 'unconnected.' If someone is unable to pull strings, they may be seen as lacking influence or authority in a given situation. On the other hand, individuals who do not rely on connections and instead rely on their own merit may be considered 'independent' or 'self-sufficient,' which are also antonyms for the phrase 'pulls strings.