"practiced in that vile city. He did not realize the terrible necessity for God's judgments to put a check on sin. Some of his children clung to Sodom, and his wife refused to depart without them. The thought of leaving those whom he held dearest on earth seemed more than he could bear. It was hard to forsake his luxurious home and all the wealth acquired by the labors of his whole life, to go forth a destitute wanderer. Stupefied with sorrow, he lingered, loath to depart. But for the angels of God, they would all have perished in the ruin of Sodom. The heavenly messengers took him and his wife and daughters by the hand and led them out of the city. PP 160.1"
"And while he lingered, the men laid hold upon his hand, and upon the hand of his wife, and upon the hand of his two daughters; the Lord being merciful unto him: and they brought him forth, and set him without the city."
The EGW passage closely follows the narrative of Genesis 19:16, including the detail of the angels taking Lot, his wife, and daughters by the hand. This is a clear and direct allusion.
"Here the angels left them, and turned back to Sodom to accomplish their work of destruction. Another—He with whom Abraham had pleaded—drew near to Lot. In all the cities of the plain, even ten righteous persons had not been found; but in answer to the patriarch's prayer, the one man who feared God was snatched from destruction. The command was given with startling vehemence: “Escape for thy life; look not behind thee, neither stay thou in all the plain; escape to the mountain, lest thou be consumed.” Hesitancy or delay now would be fatal. To cast one lingering look upon the devoted city, to tarry for one moment from regret to leave so beautiful a home, would have cost their life. The storm of divine judgment was only waiting that these poor fugitives might make their escape. PP 160.2"
"And it came to pass, when they had brought them forth abroad, that he said, Escape for thy life; look not behind thee, neither stay thou in all the plain; escape to the mountain, lest thou be consumed."
The EGW passage directly quotes and elaborates on Genesis 19:17, including the command to escape for their lives and not look back. This is a clear and direct allusion.