The term "most embroiled" refers to a situation that is deeply involved or entangled in complexities, troubles, or controversies. Some antonyms for this word could be uninvolved, detached, uncommitted, disengaged, or independent. These words suggest a lack of involvement, detachment, or neutrality in a given situation. Similarly, terms like straightforward, simple, uncomplicated, or easy-going could also serve as antonyms for "most embroiled." These words imply a situation that is free from conflict, confusion, or difficulty. Regardless of the context, antonyms for "most embroiled" usually connote a sense of distance, detachment, or simplicity in comparison to the original term.