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I read it, the whole refutation is based off the very first item, which is itself error.... "As we’ve already shown, it’s a dogma that 1) heretics are not members of the Church;"

Your rejection of that point is heresy in itself. Proving you don't even know what you're talking about.

Pope Innocent IV, First Council of Lyons, 1245: “The civil law declares that those are to be regarded as heretics, and ought to be subject to the sentences issued against them, who even on slight evidence are found to have strayed from the judgment and path of the Catholic religion.”

Pope Leo XIII, Satis Cognitum (# 3), June 29, 1896: “You are not to be looked upon as holding the true Catholic faith if you do not teach that the faith of Rome is to be held.”

(#9)
“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 Pius XII, Mystici Corporis Christi (# 23), June 29, 1943: “For not every offense, although it may be a grave evil, is such as by its very own nature [suapte natura] to sever a man from the Body of the Church [ab Ecclesiae Corpore], as does schism or heresy or apostasy.”

Pope Eugene IV, Council of Florence, Bull "Cantate Domino," 1441, ex cathedra: “It [the Holy Roman Church] condemns, rejects and anathematizes all thinking opposed and contrary things, and declares them to be aliens from the Body of Christ, which is the Church.”

Canon 1325.2: “After the reception of baptism, if anyone, retaining the name Christian, pertinaciously denies or doubts something to be believed from the truth of divine and Catholic faith, [such a one is] a heretic; if he completely turns away from the Christian faith, [such a one is] an apostate; if finally he refuses to be under the Supreme Pontiff or refuses communion with the members of the Church subject to him, he is a schismatic.”

How is this error? Do you believe heretics can be members of the Church?

I answered you in this post:

Catholics who are bad willed heretics are guilty of mortal sin because they deny a dogma or dogmas. To be forgiven of this sin of heresy, the penitent must go to confession and receive absolution from the priest for this  sin. Depending on the culpability and gravity of the sin, the nature of this sin makes this more unlikely to happen than with other mortal sins.

Your rejection of that point is heresy in itself. Proving you don't even know what you're talking about.

Pope Innocent IV, First Council of Lyons, 1245: “The civil law declares that those are to be regarded as heretics, and ought to be subject to the sentences issued against them, who even on slight evidence are found to have strayed from the judgment and path of the Catholic religion.”

Pope Leo XIII, Satis Cognitum (# 3), June 29, 1896: “You are not to be looked upon as holding the true Catholic faith if you do not teach that the faith of Rome is to be held.”

(#9)
 “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 Pius XII, Mystici Corporis Christi (# 23), June 29, 1943: “For not every offense, although it may be a grave evil, is such as by its very own nature [suapte natura] to sever a man from the Body of the Church [ab Ecclesiae Corpore], as does schism or heresy or apostasy.”

Pope Eugene IV, Council of Florence, Bull "Cantate Domino," 1441, ex cathedra: “It [the Holy Roman Church] condemns, rejects and anathematizes all thinking opposed and contrary things, and declares them to be aliens from the Body of Christ, which is the Church.”

Canon 1325.2: “After the reception of baptism, if anyone, retaining the name Christian, pertinaciously denies or doubts something to be believed from the truth of divine and Catholic faith, [such a one is] a heretic; if he completely turns away from the Christian faith, [such a one is] an apostate; if finally he refuses to be under the Supreme Pontiff or refuses communion with the members of the Church subject to him, he is a schismatic.”

Sorry DL, it is you who do not know what you are talking about. As for me personally, I absolutely, completely and 100% agree, and submit too and with all the above teachings (except #9 Satis Cognitum, see below), and would have bolded the same text if I would have posted them.

Not sure where you got #9 Satis Cognitum from, that is a bad quote as it does appear that way in any version of Satis Cognitum that I can find  - -did you get it from the Dimonds? They've always been notorious for purposely misquoting so as to suit their narrative.

I can only find this for #9: "The practice of the Church has always been the same, as is shown by the unanimous teaching of the Fathers, who were wont to hold as outside Catholic communion, and alien to the Church, whoever would recede in the least degree from any point of doctrine proposed by her authoritative Magisterium."

As for #3 Satis Cognitum, the pope(s) fully believes that he teaches the faith of Rome.