Personnel matters:  Not the pope's jurisdiction.

Similarly, the pope has absolutely no authority in personnel matters for private non-diocesan high schools either.   Many people don't realize this.

But if that high school were to teach that direct abortion can be a moral act, or that women can be priests, or that no annulment is needed....then the pope (and the local ordinary) would have jurisdiction.

People need to sharpen up their understanding of the role of the Church and pope. I am surprised at how many loquacious people have such a poor demonstrated understanding on such matters.