Everyone in the industry is tied in with each other, but officially, no. I think that Mark made a mistake by not renaming the leagues when he bought them. It would be clearer if we just said that the CEO of CSi is on the BCA Trade Organization’s Board of Directors. Leagues like APA and VNEA have also historically been members of the BCA.
If CSI hold a professional world championship, they need to have it sanctioned by the WPA is getting that World Championship officially in the books is a goal. That means that it would have to run under WPA rules and not CSI.
BCA (not BCAPL/CSI) is the regional representative for the WPA. Yeah, it is confusing.