Something that's being largely forgotten in this debate is that dances ultimately come to reflect the people doing them - their own culture and traditions of their immediate teachers.
Ballroom latin is not really a dance of the latin american countries, it is a dance of the British teaching tradition, inspired by ideas those teachers saw, that has further evolved under the influence of competitors, first from Britain and later from other, mostly European, countries.
Similarly, Chinese ballroom. The inspiration may be English style ballroom, but if people are doing these dances out in the countryside, they are doing local versions of them. Sure, there's a resemblance and probably literal compatibility of some patterns, but the look is different. When ballroom becomes a folk dance, it becomes a folk dance through a process of style transition - not unlike when the folk dance ideas were transitioned into studio dances to become the "international" (as a euphanism for British Imperial) ballroom tradition.