You say that Peter did what he was accused, how do you know?
You say Mathew 18 dose not apply in this case, oh yes it does.
Mathew 18
15 Moreover if thy brother shall trespass against thee, go and tell him his fault between thee and him alone: if he shall hear thee, thou hast gained thy brother.
16 But if he will not hear thee, then take with thee one or two more, that in the mouth of two or three witnesses every word may be established.
17 And if he shall neglect to hear them, tell it unto the church: but if he neglect to hear the church, let him be unto thee as an heathen man and a publican.
18 Verily I say unto you, Whatsoever ye shall bind on earth shall be bound in heaven: and whatsoever ye shall loose on earth shall be loosed in heaven.
If you read it closely you can see that Jesus is talking about a public matter, the church, if it was a private matter why would the Church be involved.
Paul accused Peter of leaving the gentiles and eating with the Jews, it was nothing more than an accusation, whether true or not I have no idea but I doubt any one who will spread talk about some one.
“...but I doubt any one who will spread talk about some one.”
That’s 13-14 letters of the NT you’re calling into question, as well as a God-given apostleship. We all have weird theories, but that one isn’t harmless like so many others. Find a harmless one (or two...or three, lol).
Bless you, FRiend!