When it comes to finding antonyms for the phrase "has propensity," it can be a bit challenging. However, one possible antonym could be "lacks inclination," which essentially means the opposite of having a natural tendency or inclination towards something. Other possible antonyms can include "disinterest," "apathy," or "aversion," all of which signify a lack of enthusiasm, interest, or a tendency towards something. Essentially, any words that convey a sense of absence, disinterest, or disfavor can be considered as antonyms for "has propensity." It's crucial to keep in mind that antonyms depend on context and usage, and it's best to consider them accordingly to understand what they mean.