The antonyms for the word "more attached" could be detached, aloof, indifferent or uncommitted. These words suggest a lack of emotional or personal connection and a disinclination towards developing one. Those who are detached may prefer to remain distant from others, while being aloof may indicate a general lack of interest or investment in a particular person or situation. The term indifferent suggests a neutral, uninvolved stance on matters of the heart or personal relationships. Uncommitted implies a lack of willingness to commit to a person or relationship, or an unwillingness to be tied down.