Do you have any evidence to support this outlandish claim?
Yes. Read any book on the history of space travel.
The RSA, the Russian Space Agency, works with NASA on a daily basis, as allies and friends. Even its precursor, the Soviet Space Agency, worked with NASA on billion dollar joint space projects.
ESA, JAXA, ISRO, and the BSA started off as subdivisions of NASA. The respective countries of those organizations paid NASA to send rockets into space for them, which most of them they still do. They just don't have the resources or ability to send payloads into space without relying on either NASA or the RSA for assistance.
Today they all work on joint space projects together and are financially tied, exchanging billions of dollars annually. Hardly independent.
The CSA, the Chinese Space Agency, is the only space agency which claims to be independent of NASA. But it seems that the Chinese Space Agency needs to fake space travel, too. Its recent space walk videos were clearly
" class="bbc_link" target="_blank" rel="noopener noreferrer">faked in an underwater studio.