The burden is on media that has the duty to rake up tightly kept secrets of government. The state will never make them public even if there is a law that requires it to be.
Media is considered as classical adversary of the State precisely because it cannot be conned into cooperating with the government. [really?]
Therefore, law or no law, media should find a way of getting the information denied or hidden from the public. If the principal objective of the Catholic Church, in fact of all Christian churches, is to promote spiritual well being, it should not meddle in the affairs of the state, if only to comply with the Constitutional provision that the Church and the State are separate.
The danger is if the government and the Church come to terms because freedom of information is automatically lost. Both will protect each other.