"The fall of man filled all heaven with sorrow. The world that God had made was blighted with the curse of sin and inhabited by beings doomed to misery and death. There appeared no escape for those who had transgressed the law. Angels ceased their songs of praise. Throughout the heavenly courts there was mourning for the ruin that sin had wrought. PP 63.1"
"And unto Adam he said, Because thou hast hearkened unto the voice of thy wife, and hast eaten of the tree, of which I commanded thee, saying, Thou shalt not eat of it: cursed is the ground for thy sake; in sorrow shalt thou eat of it all the days of thy life;"
The EGW passage describes the sorrow in heaven due to the fall of man, which is thematically linked to the curse described in Genesis 3:17, although it's not a direct quote or allusion.
"Wherefore, as by one man sin entered into the world, and death by sin; and so death passed upon all men, for that all have sinned:"
The EGW passage describes the consequences of the fall, including death, which aligns with the concept introduced in Romans 5:12 about sin and death entering the world through one man.
"The Son of God, heaven's glorious Commander, was touched with pity for the fallen race. His heart was moved with infinite compassion as the woes of the lost world rose up before Him. But divine love had conceived a plan whereby man might be redeemed. The broken law of God demanded the life of the sinner. In all the universe there was but one who could, in behalf of man, satisfy its claims. Since the divine law is as sacred as God Himself, only one equal with God could make atonement for its transgression. None but Christ could redeem fallen man from the curse of the law and bring him again into harmony with Heaven. Christ would take upon Himself the guilt and shame of sin—sin so offensive to a holy God that it must separate the Father and His Son. Christ would reach to the depths of misery to rescue the ruined race. PP 63.2"
"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."
The EGW passage describes God's love and Christ's sacrifice to redeem humanity, which is the central theme of John 3:16.
"Before the Father He pleaded in the sinner's behalf, while the host of heaven awaited the result with an intensity of interest that words cannot express. Long continued was that mysterious communing—“the counsel of peace” ( Zechariah 6:13 ) for the fallen sons of men. The plan of salvation had been laid before the creation of the earth; for Christ is “the Lamb slain from the foundation of the world” ( Revelation 13:8 ); yet it was a struggle, even with the King of the universe, to yield up His Son to die for the guilty race. But “God so loved the world, that He gave His only-begotten Son, that whosoever believeth in Him should not perish, but have everlasting life.” John 3:16 . Oh, the mystery of redemption! the love of God for a world that did not love Him! Who can know the depths of that love which “passeth knowledge”? Through endless ages immortal minds, seeking to comprehend the mystery of that incomprehensible love, will wonder and adore. PP 63.3"
"Even he shall build the temple of the Lord; and he shall bear the glory, and shall sit and rule upon his throne; and he shall be a priest upon his throne: and the counsel of peace shall be between them both."
Ellen White directly references Zechariah 6:13 in this passage.
"And all that dwell upon the earth shall worship him, whose names are not written in the book of life of the Lamb slain from the foundation of the world."
Ellen White directly references Revelation 13:8 in this passage.
"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."
Ellen White directly references John 3:16 in this passage.