I’m a bit embarrassed to say that I haven’t noticed this before but it’s just recently been brought to my attention that both Matthew and John are mentioned in the third person in their respective gospel accounts. I’m curious why they might do this. Anyone have any ideas?
In the case of the Gospel of John, it's almost certainly because John didn't actually pen it, but rather a close follower of his, who revered him, and wrote down John's accounts to him from memory,
after John died.
The key to understand this is the last few verses of the gospel, where Jesus tells Peter, "If I want John to remain until I come, what is that to you." And the writer of the gospel is careful to emphasize immediately afterwards that Jesus did not actually say that John would not die.
The apostle John lived an extremely long time. Couple that with Jesus' implying that John might actually live until he returned, which John undoubtedly conveyed to his followers, would mean his actual death would require some commentary.
And that is why the gospel of John was actually written -- in response to the extremely aged John finally dying. Whereas all the other gospels have Jesus referring to his Second Coming when he was before the Sanhedrin, talking about returning in the clouds and so forth, the gospel of John completely omits all that, and instead has Christ praying regarding his disciples, "I do not pray that you take them out of the world..." [etc.] So the gospel was written for solace and encouragement in light of the realization that Christ's return might not be imminent.
It's perfectly clear that
the epistle of 1 John was actually written by John, and that he thought he might actually live until Christ's return. He says, "Little children it is the last hour" and it says it's because some people left the church. It's perfectly well known he was extremely old when he wrote 1 John -- he even loses track of how he's contradicting himself, e.g. saying in the first part of the book, "If we say we have no sin we deceive ourselves..." and then in the end he's saying, "He who is in Christ cannot sin..." Even if those two diametrically opposed themes, which he develops at length, can be reconciled, he doesn't even attempt to do so, very possibly because he lost track of what he said previously. There are many other indications of this in the epistle.
So why would John be thinking Christ's return was imminent in 1 John, and then completely ignore it in the gospel of John --
if he actually wrote it. The answer is --
he didn't, a follower of his did.
There are other indications that the Gospel of John was not written down by an eyewitness. Only the gospel of John doesn't have Jesus telling the apostles, "I will drink no more wine until a drink it anew in the kingdom of God". And then only the gospel of John has Christ unambiguously drinking wine on the cross. There are other examples like this.
So that takes care of John. As far as Matthew -- he was a despised tax collector -- that was the default view of them in Palestine. So he probably wasn't inclined to make a big deal out of his own person. And he was a lesser apostle, in the sense that he wasn't in that select group that was closest to Christ -- Peter James John and Andrew, who are constantly mentioned in the gospels. Of all the apostles listed when they were first chosen, how many are mentioned by name at all subsequently -- maybe half of them? And just think about Matthew just arbitrarily deciding to insert the pronoun "I" throughout the book -- and just to overemphasize that he personally witnessed it all.