Does this quote put a stop to the material/formal office distinction?

Pope Pius IX, Vatican I, 1870, Sess. 4, Chap. 3, ex cathedra: “If anyone thus speaks, that the Roman Pontiff has only the office of inspection or direction, but not the full and supreme power of jurisdiction over the universal Church… let him be anathema.” (Denz. 1831)

Not at all … has nothing to do with the Thesis.  This is along the same lines as the misinterpretation of “perpetual succession”.

And both misinterpretations are clearly exposed by simple practical examples. 

We have interregna on a regular basis, sometimes for years, and that doesn’t compromise perpetual succession.  Now think about what it really means.

Similarly, if a layman were to be elected pope, or even a priest or monk who isn’t a bishop, he becomes pope in a sense immediately upon acceptance but cannot EXERCISE the plentitude of papal authority until he’s consecrated a bishop.  No layman can have apostolic authority, nor can someone who’s not part of the Teaching Church teach the Church.

What this means is that the formal nature of papal authority entails full and supreme jurisdiction over the entire Church, not that every individual who’s elected necessarily possesses all of papal authority.  This is condemning the error of those who hold that papal authority per se is limited by certain checks and balances.