You are trying to evade again.
Where does it say the pope cannot err in his non-infallible teaching power? Did Pope Nicholas I say that baptism "In the Name of Christ" is valid, or didn't he? Did John XXII teach the delay of eternal recompense until the Last Judgement, or not?
The Church's Magisterium is indefectible. We are discussing the non-infallible teaching of the pope.
No, you are the one evading. Your assertion that the Magisterium can go corrupt, that the Church can promulgate a Mass that's displeasing to God and harmful to souls, corrupting the Catholic religion to such an extent that Catholics would be justified and even required in conscience to sever communion with and submission to the hierarchy ... that's both blasphemous and heretical and its guts the indefectibility of the Church. If that isn't the definition of defection, then there's no such thing ... so long as there's a clown prancing around Rome in a white cassock. In fact, the proposition that the Rite of Mass used by the Church can be harmful to souls was anathematized by Trent.
Catholic Encyclopedia in article on "The Church" in the section on "Indefectibility":
Among the prerogatives conferred on His Church by Christ is the gift of indefectibility. By this term is signified, not merely that the Church will persist to the end of time, but further, that it will preserve unimpaired its essential characteristics. The Church can never undergo any constitutional change which will make it, as a social organism, something different from what it was originally. It can never become corrupt in faith or in morals; nor can it ever lose the Apostolic hierarchy, or the sacraments through which Christ communicates grace to men. The gift of indefectibility is expressly promised to the Church by Christ, in the words in which He declares that the gates of hell shall not prevail against it. It is manifest that, could the storms which the Church encounters so shake it as to alter its essential characteristics and make it other than Christ intended it to be, the gates of hell, i.e. the powers of evil, would have prevailed. It is clear, too, that could the Church suffer substantial change, it would no longer be an instrument capable of accomplishing the work for which God called it in to being. He established it that it might be to all men the school of holiness. This it would cease to be if ever it could set up a false and corrupt moral standard.
While not every papal teaching is infallible, it's not possible that pretty much the entire Magisterium outside of infallible teaching can become so corrupt as to make it unrecognizable as Catholic and an obstacle to the salvation of souls. You hide behind the idea that not all papal teaching is infallible to deny this basic truth, something the article above rightly calls "manifest", that such a degree of corruption would mean that the gates of hell had prevailed against the Church. You make the same claims about the Church having become corrupt that the Old Catholics, Eastern Orthodox, and the Protestants have.
Monsignor Fenton:
It might be definitely understood, however, that the Catholic’s duty to accept the teachings conveyed in the encyclicals even when the Holy Father does not propose such teachings as a part of his infallible magisterium is not based merely upon the dicta of the theologians. The authority which imposes this obligation is that of the Roman Pontiff himself. To the Holy Father’s responsibility of caring for the sheep of Christ’s fold, there corresponds, on the part of the Church’s membership, the basic obligation of following his directions, in doctrinal as well as disciplinary matters. In this field, God has given the Holy Father a kind of infallibility distinct from the charism of doctrinal infallibility in the strict sense. He has so constructed and ordered the Church that those who follow the directives given to the entire kingdom of God on earth will never be brought into the position of ruining themselves spiritually through this obedience. Our Lord dwells within His Church in such a way that those who obey disciplinary and doctrinal directives of this society can never find themselves displeasing God through their adherence to the teachings and the commands given to the universal Church militant. Hence there can be no valid reason to discountenance even the non-infallible teaching authority of Christ’s vicar on earth.
...
It is, of course, possible that the Church might come to modify its stand on some detail of teaching presented as non-infallible matter in a papal encyclical. The nature of the auctoritas providentiae doctrinalis within the Church is such, however, that this fallibility extends to questions of relatively minute detail or of particular application. The body of doctrine on the rights and duties of labor, on the Church and State, or on any other subject treated extensively in a series of papal letters directed to and normative for the entire Church militant could not be radically or completely erroneous. The infallible security Christ wills that His disciples should enjoy within His Church is utterly incompatible with such a possibility.
Papal Magisterium:
Pope Pius XI, Divini Illius Magistri (#18), Dec. 31, 1929: “… God Himself made the Church a sharer in the divine magisterium and by His divine benefit unable to be mistaken.”
Pope Pius XI, Divini Illius Magistri (#16), Dec. 31, 1929: “To this magisterium Christ the Lord imparted immunity from error...”
Pope Gregory XVI, Commissum Divinitus (# 4), May 17, 1835: “... the Church has, by its divine institution, the power of the magisterium to teach and define matters of faith and morals and to interpret the Holy Scriptures without danger of error.”
Pope Leo XIII, Caritatis Studium (#6) July 25, 1898: The Magisterium “could by no means commit itself to erroneous teaching.”
Pope Pius X, Editae Saepe (#8), May 26, 1910: “... only a miracle of that divine power could preserve the Church... from blemish in the holiness of Her doctrine...”
Pope Pius XI, Quas Primas (#22), Dec. 11, 1925: “... the perfect and perpetual immunity of the Church from error and heresy.”
Pope Leo XIII, Satis Cognitum (# 9), June 29, 1896: “The practice of the Church has always been the same, and that with the consenting judgment [i.e. consensus] of the holy fathers who certainly were accustomed to hold as having no part of Catholic communion and as banished from the Church whoever had departed in even the least way from the doctrine proposed by the authentic magisterium.”
Pope Gregory XVI, Mirari Vos (# 10), Aug. 15, 1832: “Therefore, it is obviously absurd and injurious to propose a certain ‘restoration and regeneration’ for her (the Church) as though necessary for her safety and growth, as if she could be considered subject to any failing health or dimming of mind or other misfortune.”
Pope Pius XI, Mortalium Animos (# 10), Jan. 6, 1928: “During the lapse of centuries, the mystical Spouse of Christ has never been contaminated, nor can she ever in the future be contaminated, as Cyprian bears witness: ‘The Bride of Christ cannot be made false to her Spouse: she is incorrupt and modest. She knows but one dwelling, she guards the sanctity of the nuptial chamber chastely and modestly.”
Pope Hadrian I, Second Council of Nicaea, 787: “… Christ our God, when He took for His Bride His Holy Catholic Church, having no blemish or wrinkle, promised he would guard her and assured his holy disciples saying, I am with you every day until the consummation of the world.”
Pope Eugene IV, Council of Florence, Session 9, March 23, 1440: “…the Spouse of Christ is uncontaminated and modest, knowing only one home, and she guards the sanctity of their marriage bed with chaste modesty.”
Pope St. Siricius, epistle (1) Directa ad decessorem, Feb. 10, 385: “And so He has wished the beauty of the Church, whose spouse He is, to radiate with the splendor of chastity, so that on the day of judgment, when He will have come again, He may be able to find her without spot or wrinkle [Eph. 5:27] as He instituted her through His apostle.”