Typical that you would draw a poor analogy. Equating the Lord calling Simon "Peter," and choosing him to lead His Church with a bunch of kids giving someone a nickname is beyond the pale.
"Peter" was a nickname and his contempories continued to call him by that name (with the exception of Paul who referred to him as Cephas). His birth name was Simon and that is the name Jesus used the last time recorded in Scripture. If Jesus meant "Peter" you may be certain he would have said "Peter"!
Earth to Reggie! "Cephas" is Aramaic for "Peter." There is no conflict.
Peter was Simon's new name, Jesus gave it to him, and everyone used it. History records such, Scripture contains a Book of Peter. Only Reggie thinks otherwise.
Your imagination that Jesus might have spoken to him subsequently and might have, once again, called him "Peter" is just another of your smokescreens.
Your imagination that the "last" conversation recorded in Scripture was the last conversation to occur, and that Jesus changed His mind about re-naming Peter are a smokescreen. You'd do better off arguing that Peter means "firstling."
SD
I don't think it does either! ;o)