The antonyms for the word "more obsessive" include detached, indifferent, uninterested, relaxed, and uninvolved. These are the exact opposite of obsessive, which means being overly preoccupied with something or someone. Someone who is detached is not emotionally invested in something and remains uninvolved in it. Similarly, someone who is indifferent and uninterested does not care about what happens to the subject matter. Relaxed is a state of being at ease and free from worry or anxiety. It is the opposite of being obsessive, which often leads to stress and anxiety. In conclusion, these antonyms provide a range of contrasting qualities to the word "more obsessive.