I'm actually trying to imply something more realpolitik - that China defines what's political in this case.
Because understand, anything less than fully recognizing that Taiwan is a province under the lawful control of the Chinese government and submitting to that authority means this organization would be recognized by China as extremist and any Taiwanese involved with it would be considered enemies of the state, and censored at best, or arrested at worst. And the more popular and useful this organization became, the harder China would crack down on it.
This is why I'm saying an organization like this can't be apolitical - that's not something the world recognizes or allows.