Hello Pierre, thanks for taking the time to respond.

I love Ken Bailey's work! He indeed makes a persuasive case for the accuracy of first century oral transmission.

It's possible that Paul and Timothy knew the material that John later recorded, and that the material remained accurately preserved through oral transmission until John recorded it.

Yet if so, it becomes a distinction without much of a difference.

It's still the case that Paul knew the content of the Gospels -- that the public knowledge of all of the information in the Gospels pre-dates Paul's letters.