The antonyms for the word "most wrapped up" are "least involved", "uninterested", and "dispassionate". When someone is described as being "most wrapped up," it means they are fully engaged and invested in something. However, when someone is "least involved" or "uninterested," they have little to no interest or investment in the matter at hand. Similarly, when someone is "dispassionate," they remain unemotional and detached from the situation. These antonyms indicate a lack of interest, commitment, or emotional investment, as opposed to someone who is "most wrapped up" and fully committed.