False, there's plenty of doubt.
Looks like someone has fallen into BOD-doubtism now. Say, Ladislaus, when are you gonna actually start learning your Faith from the Catholic Church, and not from the Dimon Brothers? ;D
St. Robert Bellarmine seems specifically to be answering you: "De Controversiis, “De Baptismo,” Lib. I, Cap. VI: “But
without doubt it must be believed that true conversion supplies for Baptism of water when one dies without Baptism of water not out of contempt but out of necessity... For it is expressly said in Ezechiel: If the wicked shall do penance from his sins, I will no more remember his iniquities...Thus also the Council of Trent, Session 6, Chapter 4, says that Baptism is necessary in fact or in desire (in re vel in voto)”.
Our Lord Jesus Himself told St. Catherine of Sienna, He poured Water and Blood from His Sacred Heart, to show us the Baptism of Love. "I wished thee to see the secret of the Heart, showing it to thee open, so that you mightest see how much more I loved than I could show thee by finite pain. I poured from it Blood and Water, to show thee the baptism of water which is received in virtue of the Blood. I also showed the baptism of love in two ways, first in those who are baptized in their blood shed for Me which has virtue through My Blood, even if they have not been able to have Holy Baptism, and also those who are baptized in fire, not being able to have Holy Baptism, but desiring it with the affection of love. There is no baptism of desire without the Blood, because Blood is steeped in and kneaded with the fire of Divine charity, because through love was it shed." This is what is called baptism of desire, to desire Baptism with the affection of love. But of course who is a mere St. Catherine, or even the Lord Jesus, compared to Ladislaus and Peter Dimond, right?
And this is the passage of St. Alphonsus: Moral Theology, Book 6, Section II (About Baptism and Confirmation), Chapter 1 (On Baptism), page 310, no. 96: "Baptism of desire is perfect conversion to God by contrition or love of God above all things accompanied by an explicit or implicit desire for true baptism of water, the place of which it takes as to the remission of guilt, but not as to the impression of the [baptismal] character or as to the removal of all debt of punishment." Perfect Contrition remits mortal sins. Venial sins remain. This is true both before and after Baptism. Even after forgiveness of mortal sin, temporal punishment for forgiven sins remain. It is part of the extraordinary effect of the Sacrament of Baptism that all mortal sin, all venial sin and all else is removed.
St. Alphonsus says there's no doubt about BOD mainly because of the Council of Trent, which is a dogmatic Council; the letters of Pope Innocent, which you misrepresent and misunderstand completely, are authentic teaching where the Roman Pontiff purposely passes judgment on a disputed question that must therefore be adhered to with religious assent as Pope Pius XII taught.
"if the Supreme Pontiffs in their official docuмents purposely pass judgment on a matter up to that time under dispute, it is obvious that that matter, according to the mind and will of the Pontiffs, cannot be any longer considered a question open to discussion among theologians." (Humani Generis, p.20)
So by his own standards this would make St. Alphonsus a heretic (objectively speaking) for claiming that temporal punishment is not remitted.
No, o erring man of great temerity, you have fallen into heresy, and you need to reflect on the state of your soul. You need to question why Doctors of the highest learning and of the greatest sanctity disagree with you. But you are a Dimond disciple and they have confused you. Unlike Catholics, you don't get your understanding of Scripture from Church-Approved Catholic Commentaries. Fr. Haydock tells you Cornelius was justified as a Catechumen. A sensible Catholic would therefore not doubt that BOD is divinely revealed in Sacred Scripture, by the Holy Ghost through the first Pope St. Peter himself, "Such may be the grace of God occasionally towards men, and such their great charity and contrition, that they may have remission, justification, and sanctification, before the external sacraments of baptism, confirmation, and penance be received; as we see in this example: where, at Peter's preaching, they all received the Holy Ghost before any sacrament."