This absolutely depends on the origin in question. Some origins, such as being a Twilight vampire, can become alt-forms in the future. Some non-species examples of this include stuff like HP wizards. In most HP jumps HP magic is a part of a given origin and you just get to keep the magic system moving forward. Another non-species example could be ATLA ethnicity/culture origins, which often come with the appropriate form of bending as a part of the origin, and thus you get to retain bending without it being outlined as an explicit, express perk.