China and Vatican "fight over control of the Church"

So reports CNN.  I might put the matter a bit differently, and say (for example) "China tries to take over the Church". It is not the case, it seems to me -- even though I understand that those ruling China might see it this way -- that "the Vatican" and China are in-the-same-sense "outside" the Church and fighting over control "of" it.  In any event, a troubling development.