"Early in the morning, Peter and his companions came to Jesus, saying that already the people of Capernaum were seeking Him. The disciples had been bitterly disappointed at the reception which Christ had met hitherto. The authorities at Jerusalem were seeking to murder Him; even His own townsmen had tried to take His life; but at Capernaum He was welcomed with joyful enthusiasm, and the hopes of the disciples kindled anew. It might be that among the liberty-loving Galileans were to be found the supporters of the new kingdom. But with surprise they heard Christ's words, “I must preach the kingdom of God to other cities also: for therefore am I sent.” DA 260.1"
"And he said unto them, I must preach the kingdom of God to other cities also: for therefore am I sent."
The EGW passage directly quotes Luke 4:43. It's an explicit allusion.
"And when they had found him, they said unto him, All men seek for thee."
EGW's passage directly references the event described in Mark 1:37, where the disciples inform Jesus that everyone is looking for Him. The EGW passage provides additional context and interpretation of this event, but the core event is the same.
"In the excitement which then pervaded Capernaum, there was danger that the object of His mission would be lost sight of. Jesus was not satisfied to attract attention to Himself merely as a wonder worker or a healer of physical diseases. He was seeking to draw men to Him as their Saviour. While the people were eager to believe that He had come as a king, to establish an earthly reign, He desired to turn their minds away from the earthly to the spiritual. Mere worldly success would interfere with His work. DA 260.2"
"Jesus answered, My kingdom is not of this world: if my kingdom were of this world, then would my servants fight, that I should not be delivered to the Jews: but now is my kingdom not from hence."
The EGW passage directly echoes the sentiment in John 18:36, emphasizing Jesus' focus on a spiritual kingdom rather than an earthly one. The context in both passages is Jesus' desire to shift people's focus from worldly expectations to spiritual realities.
"When Jesus therefore perceived that they would come and take him by force, to make him a king, he departed again into a mountain himself alone."
Both passages address the tension between the people's desire for Jesus to be an earthly king and his focus on spiritual matters. The EGW passage explains the danger of worldly success interfering with his mission, while John 6:15 describes Jesus' withdrawal to avoid being made king by force.