The antonyms for the word "sticking for" are detachment, indifference, and neutrality. These words imply a lack of involvement or commitment to a particular person, idea, or argument. Detachment denotes a state of emotional distance or disinterest in something. Indifference suggests a lack of concern, care, or consideration for a particular matter. Neutrality, on the other hand, refers to an impartial or unbiased stance that avoids taking sides or showing favor to either party. Using these antonyms could indicate a desire to remain neutral or impartial in a situation, rather than sticking to a particular perspective or stance.