Are you aware of any source, other than yourself, which makes the claim John was not the disciple described as "the one Jesus loved"?
Consider the introduction to John from Douay-Rheims:
Introduction to The Holy Gospel of Jesus Christ According to Saint John
St. John the Apostle and Evangelist was the son of Zebedee and Salome, brother to James the Greater. He was called the Beloved disciple of Christ and stood by at his Crucifixion. . . . .
Considering that John was the only Apostle present at the crucifiction and His brothers were not there did not honor Him, and were not believers, who else but John?