I think the last elections argue against that
https://www.nytimes.com/2020/01/11/world/asia/taiwan-electio...
Taiwan's official view, as I understand it, is that they are the rightful government of the land and those people, and that the people currently reigning are illegitimate.
In fact Taiwan is split from the mainland because of the civil war between the KMT and the communists...
DPP = in addition to defying PRC's bullying about Taiwan government's statements regarding independence, DPP believes it is crucial to expand trade with other countries to reduce economic reliance on PRC.
So I would say there isn't really a huge generational divide regarding actually supporting re-unification, but certainly younger generation may not be as concerned about the potential economic ramifications of defying PRC.