"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 reflects the principle stated in John 18:36, that Jesus's kingdom is not of this world. It's not a direct quote, but a restatement of the core idea.
"These words from a heathen judge were a scathing rebuke to the perfidy and falsehood of the rulers of Israel who were accusing the Saviour. As the priests and elders heard this from Pilate, their disappointment and rage knew no bounds. They had long plotted and waited for this opportunity. As they saw the prospect of the release of Jesus, they seemed ready to tear Him in pieces. They loudly denounced Pilate, and threatened him with the censure of the Roman government. They accused him of refusing to condemn Jesus, who, they affirmed, had set Himself up against Caesar. DA 727.5"
"Pilate saith unto him, What is truth? And when he had said this, he went out again unto the Jews, and saith unto them, I find in him no fault at all."
The EGW passage directly refers to Pilate's statement that he found no fault in Jesus, as described in John 18:38, and elaborates on the reaction of the priests and elders. This is a clear explicit allusion.