"“Verily, verily, I say unto you, He that believeth on Me hath everlasting life.” Through the beloved John, who listened to these words, the Holy Spirit declared to the churches, “This is the record, that God hath given to us eternal life, and this life is in His Son. He that hath the Son hath life.” 1 John 5:11, 12 . And Jesus said, “I will raise him up at the last day.” Christ became one flesh with us, in order that we might become one spirit with Him. It is by virtue of this union that we are to come forth from the grave,—not merely as a manifestation of the power of Christ, but because, through faith, His life has become ours. Those who see Christ in His true character, and receive Him into the heart, have everlasting life. It is through the Spirit that Christ dwells in us; and the Spirit of God, received into the heart by faith, is the beginning of the life eternal. DA 388.1"
"For God so loved the world, that he gave his only begotten Son, that whosoever believeth in him should not perish, but have everlasting life."
EGW directly quotes and expands upon John 3:16 and 1 John 5:11-12, making the connection explicit and central to her argument.
The people had referred Christ to the manna which their fathers ate in the wilderness, as if the furnishing of that food was a greater miracle than Jesus had performed; but He shows how meager was that gift when compared with the blessings He had come to bestow. The manna could sustain only this earthly existence; it did not prevent the approach of death, nor insure immortality; but the bread of heaven would nourish the soul unto everlasting life. The Saviour said, “I am that bread of life. Your fathers did eat manna in the wilderness, and are dead. This is the bread which cometh down from heaven, that a man may eat thereof, and not die. I am the living bread which came down from heaven: if any man eat of this bread, he shall live forever.” To this figure Christ now adds another. Only through dying could He impart life to men, and in the words that follow He points to His death as the means of salvation. He says, “The bread that I will give is My flesh, which I will give for the life o…
"Your fathers did eat manna in the wilderness, and are dead."
EGW directly quotes and interprets John 6:49 in the context of Jesus as the bread of life, making the connection clear.
"And Jesus said unto them, I am the bread of life: he that cometh to me shall never hunger; and he that believeth on me shall never thirst."
EGW directly quotes and interprets John 6:35 in the context of Jesus as the bread of life, making the connection clear.
"He was in the world, and the world was made by him, and the world knew him not."
Both passages speak to a lack of recognition of Jesus. While the EGW passage is vague, the context within the larger chapter makes it clear she is referring to Jesus not being recognized. This is a clear thematic parallel.