Antonyms for the phrase "holds high" include, but are not limited to, "disparages," "undervalues," "diminishes," and "neglects." To hold something high means to value or esteem it greatly, but these antonyms suggest the opposite - a lack of value or respect. Disparaging implies criticism or disdain, undervaluing suggests considering something to be less important than it is, diminishing means reducing the significance of something, and neglecting suggests ignoring something altogether. It's important to remember that antonyms often offer a way to contrast the meaning of a word or phrase, and in this case, provide a way to express the opposite of holding something in high regard.