Just as Pope Honorius I did not teach heresy ex cathedra, an impossibility, he remained pope until his death, despite being anathematized as a heretic by the Sixth Ecuмenical Council, confirmed by Pope Leo II, and reaffirmed by the Eighth Ecuмenical Council. The councils judged his theological error, not the legitimacy of his office. By the same principle, no earthly authority can remove a pope, and post-Vatican II popes likewise retain the papal office until death or valid resignation, even if their non-ex cathedra teachings are or were theologically erroneous propositions, opinions suspected of heresy, or opinions approaching heresy. Such teachings may also render a pope materially heretical, meaning the error exists in the teaching without imputing formal, obstinate heresy to the person. They can, however, be posthumously condemned and anathematized as heretics by a council and ratified by a pope, just as Honorius I was.
Now you're just a lying piece of excrement. You've been correct already repeatedly with three different citations where Pope Leo II clearly declares that Honorius was not a heretic but was condemned for not having defended dogma.
But you're a lying heretic who tries to reject the indefectibility of the Church ... just like the heretics used Honorius to bring an assault against papal infallibility.
Scuм like you, after you've been repeatedly corrected, when you ignore clear citations from Leo II and then repeat your lies and slanders ... that demonstrates pertinacity in your heresy, and you too are anathema.
As for how "no earthly authority can remove a pope", you seem to be spouting the lie of pseudo-bishop Schneider that the only Catholic position is the one that maybe 2 theologians ever held, that a Pope can never lose office. While it is true that no eartly authority can REMOVE a pope, a Pope can be removed ipso facto by God for manifest heresy, the opinon that's held by most thoelogians, and then Cajetan's opinion, second, that the Church can "ministerially remove" a Pope, by which he means that the Church can declare him deposed ... and it's a blend of these two opinions that the sedeprivationists and sedeimpoundists (like Fr. Chazal) hold.
Your fake lying syllogism has been exposed. Per the Bellarmine opinion, heresy severs membership in the Church only when it's become MANIFEST, and not if it's occult. You deliberately blur the issue by throwing out there this gabage about "objective" heresy, which does not enter into the debate, since both manifest and occult heresy are "objective" heresy. So just pull that out of your ass to deliberately confuse the issue.
At not time did Honorius' heresy become manifest during his lifetime, and he was held to be completely orthodox, and ther'es no principle by which the Church can retroactively depose a pope from office.
What can happen is that the Church can issue a future declaration indicating that a Pope who was doubted during his lifetime, and disputed, was or was not actually a Pope. There are several such that theologians are not sure about today, where they're sometimes listed as popes, sometimes as antipopes, and the Church can make a clarification on the matter.
But your lie of Pope Leo II confirming him to be a heretic has been refuted, with actual citations from Pope Leo II where he clearly distinguishes between the heretics (the inventors of the heresy) and Honorius for failing to defend it. In the mind of the Church, over and over again, and sometimes explicitly taught, the Church declares that not only the heretics but those who fail to condemn the heretics are anathema and lumps them together in the anathema, but as far as membership in the Church is concerned, it's only heresy that deposes, whereas an anathema for failing to defend the faith would be a form of punitive excommnication.
This might be another Salza account ... and this time he's not pretending to be a female.
But you ignore everything that's been posted and regurgitate your heretical lies. That renders you a pertinacious heretic and you're outside the Church. Unless you repent, you're going to end up in Hell, since you lack the Catholic faith.