"Said the angel, “Think ye that the Father yielded up His dearly beloved Son without a struggle? No, no.” It was even a struggle with the God of heaven, whether to let guilty man perish, or to give His darling Son to die for them. Angels were so interested for man's salvation that there could be found among them those who would yield their glory and give their life for perishing man. “But,” said my accompanying angel, “that would avail nothing.” The transgression was so great that an angel's life would not pay the debt. Nothing but the death and intercession of God's Son would pay the debt and save lost man from hopeless sorrow and misery. EW 127.1"
"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."
Both passages emphasize God's love for the world and His willingness to sacrifice His Son for humanity's salvation. EGW expands on the internal struggle within God, which is implied in John 3:16.
"But the work which was assigned the angels was to ascend and descend with strengthening balm from glory to soothe the Son of God in His life of suffering. They administered unto Jesus. Also, their work was to guard and keep the subjects of grace from the evil angels and from the darkness which was constantly thrown around them by Satan. I saw that it was impossible for God to change His law in order to save lost, perishing man; therefore He suffered His darling Son to die for man's transgressions. EW 127.2"
"Are they not all ministering spirits, sent forth to minister for them who shall be heirs of salvation?"
The EGW passage directly reflects the principle in Hebrews 1:14 that angels are ministering spirits sent to serve those who will inherit salvation. EGW specifies that the angels ministered to Jesus and protected believers.