The term "cavalrypersons" is a gender-neutral alternative to the traditional term "cavalrymen." However, there are other synonyms that can be used to describe individuals who serve in the cavalry. Some examples include "cavaliers," "horse soldiers," "mounted troops," and "dragoons." These terms all refer to individuals who ride horses as part of a military unit. While each of these synonyms has its own historical or cultural connotations, they can all be used to refer to the same basic concept. Ultimately, the choice of which term to use may depend on the context in which it is being used and the preferences of the individual or organization using it.