Among the people many believed on Him, and they said, “When Christ cometh, will He do more miracles than these which this Man hath done?” The leaders of the Pharisees, who were anxiously watching the course of events, caught the expressions of sympathy among the throng. Hurrying away to the chief priests, they laid their plans to arrest Him. They arranged, however, to take Him when He was alone; for they dared not seize Him in the presence of the people. Again Jesus made it manifest that He read their purpose. “Yet a little while am I with you,” He said, “and then I go unto Him that sent Me. Ye shall seek Me, and shall not find Me: and where I am, thither ye cannot come.” Soon He would find a refuge beyond the reach of their scorn and hate. He would ascend to the Father, to be again the Adored of the angels; and thither His murderers could never come. DA 457.5 Sneeringly the rabbis said, “Whither will He go, that we shall not find Him? will He go unto the dispersed among the Gentiles, …
"And many of the people believed on him, and said, When Christ cometh, will he do more miracles than these which this man hath done?"
The EGW passage directly quotes John 7:31. This is a clear and undeniable connection.
"And consulted that they might take Jesus by subtilty, and kill him. But they said, Not on the feast day, lest there be an uproar among the people."
Both passages describe the Pharisees plotting to arrest Jesus, specifically avoiding doing so in public to prevent an uproar. While not a direct quote, the thematic similarity is strong and supports the connection.
"God does not compel men to give up their unbelief. Before them are light and darkness, truth and error. It is for them to decide which they will accept. The human mind is endowed with power to discriminate between right and wrong. God designs that men shall not decide from impulse, but from weight of evidence, carefully comparing scripture with scripture. Had the Jews laid by their prejudice and compared written prophecy with the facts characterizing the life of Jesus, they would have perceived a beautiful harmony between the prophecies and their fulfillment in the life and ministry of the lowly Galilean. DA 458.3"
"I call heaven and earth to record this day against you, that I have set before you life and death, blessing and cursing: therefore choose life, that both thou and thy seed may live:"
Both passages highlight the concept of choice between good and evil, light and darkness. Deuteronomy 30:19 explicitly presents the choice between life and death, while the EGW passage discusses the choice between belief and unbelief, truth and error. The underlying principle of free will and the need to choose is present in both.