"Many minds were busy with thoughts started by the scenes of Calvary. From the crucifixion to the resurrection many sleepless eyes were constantly searching the prophecies, some to learn the full meaning of the feast they were then celebrating, some to find evidence that Jesus was not what He claimed to be; and others with sorrowful hearts were searching for proofs that He was the true Messiah. Though searching with different objects in view, all were convicted of the same truth,—that prophecy had been fulfilled in the events of the past few days, and that the Crucified One was the world's Redeemer. Many who at that time united in the service never again took part in the paschal rites. Many even of the priests were convicted of the true character of Jesus. Their searching of the prophecies had not been in vain, and after His resurrection they acknowledged Him as the Son of God. DA 775.1"
"And beginning at Moses and all the prophets, he expounded unto them in all the scriptures the things concerning himself."
Both passages describe people searching the scriptures after the crucifixion to understand the events and their meaning. Luke 24:27 describes Jesus explaining the scriptures to the disciples, while EGW describes various groups searching the prophecies with different motives but ultimately being convicted of the truth about Jesus.
Nicodemus, when he saw Jesus lifted up on the cross, remembered His words spoken by night in the Mount of Olives: “As Moses lifted up the serpent in the wilderness, even so must the Son of man be lifted up: that whosoever believeth in Him should not perish, but have eternal life.” John 3:14, 15 . On that Sabbath, when Christ lay in the grave, Nicodemus had opportunity for reflection. A clearer light now illuminated his mind, and the words which Jesus had spoken to him were no longer mysterious. He felt that he had lost much by not connecting himself with the Saviour during His life. Now he recalled the events of Calvary. The prayer of Christ for His murderers and His answer to the petition of the dying thief spoke to the heart of the learned councilor. Again he looked upon the Saviour in His agony; again he heard that last cry, “It is finished,” spoken like the words of a conqueror. Again he beheld the reeling earth, the darkened heavens, the rent veil, the shivered rocks, and his fait…
"And as Moses lifted up the serpent in the wilderness, even so must the Son of man be lifted up:"
EGW directly quotes John 3:14 and explicitly connects it to Nicodemus's reflection on the crucifixion. The passage clearly alludes to and expands upon the meaning of the verse in relation to Christ's sacrifice.