This says more about who complied the Bible together in Ancient Rome than what is says about the Apostles themselves.
Actually, the authors of the Bible set down facts ... not necessarily the type of information that would appeal to us today. They were writing for their audience, 2000 years ago. The Catholic Church has always taught that to read Scripture, one must evaluate it in the context of the author, the time frame and the audience. They wrote from personal experience and obviously stressed the fact that Christ used the question "Who do you say that I am?" as a major turning point. This discourse occured just before the Last Supper. Christ used that question to learn to whom His Father had entrusted the truth. That loaded question supplied the answer. If our Lord, Jesus Christ, acknowledged Peter, then who are we to question it.