"have endeavored to show wherein the promise of God, given to Haggai, has been fulfilled; yet in the advent of Jesus of Nazareth, the Desire of all nations, who by His personal presence hallowed the precincts of the temple, many have steadfastly refused to see any special significance. Pride and unbelief have blinded their minds to the true meaning of the prophet's words. PK 597.1"
"He came unto his own, and his own received him not."
Both passages deal with the rejection of Jesus/the Messiah by his own people. The EGW passage specifically mentions the rejection of Jesus as the fulfillment of prophecy, while John 1:11 speaks of the general rejection of Jesus by his own. The connection is valid and meaningful.
"Then he said unto them, O fools, and slow of heart to believe all that the prophets have spoken:"
Both passages deal with a lack of belief in prophetic fulfillment. Luke 24:25 speaks of being slow to believe what the prophets have spoken, while the EGW passage speaks of refusing to see the significance of Haggai's prophecy in the advent of Jesus. The connection is thematic, focusing on the resistance to accepting prophetic fulfillment.
"The second temple was honored, not with the cloud of Jehovah's glory, but with the presence of the One in whom dwelt “all the fullness of the Godhead bodily”—God Himself “manifest in the flesh.” Colossians 2:9 ; 1 Timothy 3:16 . In being honored with the personal presence of Christ during His earthly ministry, and in this alone, did the second temple exceed the first in glory. The “Desire of all nations” had indeed come to His temple, when the Man of Nazareth taught and healed in the sacred courts. PK 597.2"
"For in him dwelleth all the fulness of the Godhead bodily."
Ellen White directly references Colossians 2:9 in this passage.
"And without controversy great is the mystery of godliness: God was manifest in the flesh, justified in the Spirit, seen of angels, preached unto the Gentiles, believed on in the world, received up into glory."
Ellen White directly references 1 Timothy 3:16 in this passage.