"Chapter 7—The Character of John The apostle John was distinguished above his brethren as “the disciple whom Jesus loved.” While not in the slightest degree cowardly, weak, or vacillating in character, he possessed an amiable disposition and a warm, loving heart. He seems to have enjoyed, in a pre-eminent sense, the friendship of Christ, and he received many tokens of the Saviour's confidence and love. He was one of the three permitted to witness Christ's glory upon the mount of transfiguration and His agony in Gethsemane; and to the care of John our Lord confided His mother in those last hours of anguish upon the cross. SL 53"
"Now there was leaning on Jesus’ bosom one of his disciples, whom Jesus loved."
The EGW passage directly references John as "the disciple whom Jesus loved," which is a clear and explicit allusion to John 13:23.
John's love for his Master was not a mere human friendship, but it was the love of a repentant sinner, who felt that he had been redeemed by the precious blood of Christ. He esteemed it the highest honor to work and suffer in the service of his Lord. His love for Jesus led him to love all for whom Christ died. His religion was of a practical character. He reasoned that love to God would be manifested in love to His children. He was heard again and again to say, “Beloved, if God so loved us, we ought also to love one another” ( 1 John 4:11 ). “We love him, because he first loved us. If a man say, I love God, and hateth his brother, he is a liar: for he that loveth not his brother whom he hath seen, how can he love God whom he hath not seen?” ( verses 19, 20 ). The apostle's life was in harmony with his teachings. The love which glowed in his heart for Christ, led him to put forth the most earnest, untiring labor for his fellow men, especially for his brethren in the Christian church. He…
"Beloved, if God so loved us, we ought also to love one another."
Ellen White directly references 1 John 4:11 in this passage.