It is hard to see how an organization operated by the church, or exclusively by its organs if not a part of it.

For example, the below linked group of hospitals: The Wikipedia article claims they changed their name just this year "to better reflect their ministry and the ending of their affiliation with the Catholic Church," but also notes its top executives all come from its seven co-sponors—all of which are orders of nuns. Calling that a mere private corporation that just coincidentally happens to be run exclusively by Catholic Church leaders badly misrepresents the situation. Not only is it impossible to get on the board of directors without being a nun, it is impossible to be one of the executives who SELECTS the board. If that is just a private corporation someone needs to call the EEOC on them. I certainly think the nuns running it have a valid objection to paying for their employees contraception.

Hopefully all this backslapping over Obama scoring a minor "victory" in alarming Americas religious voters (which is the vast majority of them) does not end with churches abandoning non-profit healthcare to preserve their religious convictions. That would hardly be a big triumph for US healthcare, and certainly not for the people to afford to purchase it out of pocket, supposedly the people who benefit most from Obamas healthcare "reform." Since we do not HAVE the public healthcare that would have avoided controversies like this one, that would be less a "triumph" than "disaster that kills millions."