Correct. John Calvin's commentaries show the same tendency. While providing the exposition in the commentary, he had no choice but to present what was in Scripture. But that did not stop him from teaching the exact opposite because he had committed himself to a false gospel. Here is is commentary on John 1:29 from Bible Hub:
CALVIN'S COMMENTARY EFFECTIVELY CANCELS TULIP
"Behold the Lamb of God.
The principal office of Christ is briefly but clearly stated; that he takes away the sins of the world by the sacrifice of his death, and reconciles men to God. ... John, holding out Christ, testifies that he is the Lamb of God; by which he means that all the sacrifices, which the Jews were accustomed to offer under the Law, had no power whatever to atone for sins, but that they were only figures, the truth of which was manifested in Christ himself...
Who taketh away the sin of the world.
He uses the word sin in the singular number, for any kind of iniquity; as if he had said, that every kind of unrighteousness which alienates men from God is taken away by Christ. And when he says, the sin Of The World, he extends this favor indiscriminately to the whole human race; that the Jews might not think that he had been sent to them alone. But hence we infer that the whole world is involved in the same condemnation; and that as all men without exception are guilty of unrighteousness before God, they need to be reconciled to him. John the Baptist, therefore, by speaking generally of the sin of the world, intended to impress upon us the conviction of our own misery, and to exhort us to seek the remedy. Now our duty is, to embrace the benefit which is offered to all, that each of us may be convinced that there is nothing to hinder him from obtaining reconciliation in Christ, provided that he comes to him by the guidance of faith."