The antonyms for the phrase "picks up on" can include phrases like "misses," "ignores," "overlooks," or "dismisses." Each of these terms implies a failure to notice or take in important information, whether intentional or not. "Misses" suggests a lack of attention or focus, while "ignores" implies an active choice to disregard something. "Overlooks" means to fail to notice something that is otherwise visible or obvious, and "dismisses" suggests a deliberate rejection of something that may be important. All of these antonyms serve to highlight the importance of picking up on subtle or important details in order to fully understand a situation or idea.