No, the premise is that Peter and Paul differed in what the remission of sin entails. For Peter it was “repent and be baptized for the remission of sins” and for Paul it was “Christ died for our sins” and THAT in itself, when believed, was the remission of our sins.
I pointed out the link source you said “BRAVO” to is in error. The “author” of the piece starts his argument with saying Paul did not preach repentance. That is clearly false which sets the remainder of his information in doubt. “A little leaven leavens the whole lump.”
I ask you review Acts 2 and Acts 3 again. If Peter is not preaching the cross and empty tomb, then I am at a loss for words. That same message, good news, gospel is found in 1 Corinthians 15. And in 1 Corinthians 15 Paul clearly states all of them (the apostles) “Therefore, whether it was I or they, so we preach and so you believed.”