"The Saviour did not commit the work of the gospel to Peter individually. At a later time, repeating the words that were spoken to Peter, He applied them directly to the church. And the same in substance was spoken also to the twelve as representatives of the body of believers. If Jesus had delegated any special authority to one of the disciples above the others, we should not find them so often contending as to who should be the greatest. They would have submitted to the wish of their Master, and honored the one whom He had chosen. DA 414.1"
"Verily I say unto you, Whatsoever ye shall bind on earth shall be bound in heaven: and whatsoever ye shall loose on earth shall be loosed in heaven."
EGW refers to Jesus applying the words spoken to Peter to the church, which is thematically linked to Matthew 18:18 regarding binding and loosing. While not a direct quote, the underlying principle of authority and its application to the collective body of believers connects the two.
"And there was also a strife among them, which of them should be accounted the greatest."
The EGW passage discusses the disciples' contention about who would be the greatest, which is the central theme of Luke 22:24. The passage directly addresses the disciples' struggle for prominence, making the connection more than just a vague thematic overlap.
"Instead of appointing one to be their head, Christ said to the disciples, “Be not ye called Rabbi;” “neither be ye called masters: for one is your Master, even Christ.” Matthew 23:8, 10 . DA 414.2"
"But be not ye called Rabbi: for one is your Master, even Christ; and all ye are brethren."
EGW directly quotes Matthew 23:8.
"Neither be ye called masters: for one is your Master, even Christ."
EGW directly quotes Matthew 23:10.
“The head of every man is Christ.” God, who put all things under the Saviour's feet, “gave Him to be the head over all things to the church, which is His body, the fullness of Him that filleth all in all.” 1 Corinthians 11:3 ; Ephesians 1:22, 23 . The church is built upon Christ as its foundation; it is to obey Christ as its head. It is not to depend upon man, or be controlled by man. Many claim that a position of trust in the church gives them authority to dictate what other men shall believe and what they shall do. This claim God does not sanction. The Saviour declares, “All ye are brethren.” All are exposed to temptation, and are liable to error. Upon no finite being can we depend for guidance. The Rock of faith is the living presence of Christ in the church. Upon this the weakest may depend, and those who think themselves the strongest will prove to be the weakest, unless they make Christ their efficiency. “Cursed be the man that trusteth in man, and maketh flesh his arm.” The Lord…
"But I would have you know, that the head of every man is Christ; and the head of the woman is the man; and the head of Christ is God."
Ellen White directly references 1 Corinthians 11:3 in this passage.
"Thus saith the Lord; Cursed be the man that trusteth in man, and maketh flesh his arm, and whose heart departeth from the Lord."
Ellen White directly references Jeremiah 17:5 in this passage.
"He is the Rock, his work is perfect: for all his ways are judgment: a God of truth and without iniquity, just and right is he."
Ellen White directly references Deuteronomy 32:4 in this passage.
"Kiss the Son, lest he be angry, and ye perish from the way, when his wrath is kindled but a little. Blessed are all they that put their trust in him."
Ellen White directly references Psalms 2:12 in this passage.
"After Peter's confession, Jesus charged the disciples to tell no man that He was the Christ. This charge was given because of the determined opposition of the scribes and Pharisees. More than this, the people, and even the disciples, had so false a conception of the Messiah that a public announcement of Him would give them no true idea of His character or His work. But day by day He was revealing Himself to them as the Saviour, and thus He desired to give them a true conception of Him as the Messiah. DA 414.4"
"Then charged he his disciples that they should tell no man that he was Jesus the Christ."
The EGW passage directly references and explains the context of Matthew 16:20.