Your grasping. And you ignored the point that they weren't John's letters, they were Jesus' letters to the churches. Are you gouing to question His authority?
No, I am not going to question his authority, just pointing out that the churches must have known John intimately so that when his letter circulated, even with "servant" rather than "apostle" or "Elder", they knew who he was. With that reputation among the churches, you would have thought Paul would have referenced him in his letters, like he did just about every one else.