The term "eagle-eyeing" is often used to describe someone who is closely observing or scrutinizing something. However, there are several antonyms for this word that suggest a lack of attentiveness or interest. Words like oblivious, inattentive, nonchalant, and indifferent all suggest a lack of focus or concern. Additionally, words like careless, negligent, and haphazard suggest a lack of attention to detail or a willingness to overlook important information. While being eagle-eyed can be beneficial in certain situations, it's also important to be aware of the opposite traits that can hinder effective observation and decision-making.