Antonyms for "are engrossed in" include "are disinterested in," "are detached from," "are indifferent to," "are uninterested in," and "are unconcerned about." These words convey a lack of interest, passion, or focus in the subject at hand. They suggest a state of mind where one is not fully invested or absorbed in what they are doing or experiencing. Being disinterested or detached can be useful in some situations, as it allows one to stay objective and make rational decisions. However, constantly being uninterested or indifferent to the world around us can lead to a shallow, unfulfilling existence.