All "Radio Free XXX" were USA soft-power / CIA spinoffs of the Cold War era, and that has been common knowledge for decades. Not even controversial. The story of "Radio Free XXX" is like table stakes Cold War knowledge...
Now, I'll give you that the Moonies etc are more obscure unless you're into cult/BS guru histories, but still widely known and reported (especially in the 60s, 70s, and 80s), and one can easily find books about them.
Heck, even Wikipedia would do for the basic ties:
"Moon viewed the Cold War between democracy and communism as the final conflict between God and Satan, with divided Korea as its primary front line. Soon after its founding the Unification movement began supporting anti-communist organizations, including the World League for Freedom and Democracy founded in 1966 in Taipei, Republic of China (Taiwan), by Chiang Kai-shek,[251] and the Korean Culture and Freedom Foundation, an international public diplomacy organization which also sponsored Radio Free Asia"
And Radio Free Asia:
A short-lived organization also named "Radio Free Asia" existed in the 1950s during the Cold War, as an anti-Communist propaganda operation in Asia funded by the Central Intelligence Agency to try and prevent the spread of the supposed domino theory.[4][11] Radio Free Asia was founded and funded in the 1950s by an organization called "Committee for Free Asia" as an anti-communist propaganda operation (...) In 1971 CIA involvement ended and all responsibilities for then-defunct radio operations were formally transferred to a presidentially appointed Board for International Broadcasting (BIB) (...)
(Well, for "ended" read: "ended, trust us").