"With the rending of the kingdom early in Rehoboam's reign the glory of Israel began to depart, never again to be regained in its fullness. At times during the centuries that followed, the throne of David was occupied by men of moral worth and far-seeing judgment, and under the rulership of these sovereigns the blessings resting upon the men of Judah were extended to the surrounding nations. At times the name of Jehovah was exalted above every false god, and His law was held in reverence. From time to time mighty prophets arose to strengthen the hands of the rulers and to encourage the people to continued faithfulness. But the seeds of evil already springing up when Rehoboam ascended the throne were never to be wholly uprooted; and at times the once-favored people of God were to fall so low as to become a byword among the heathen. PK 96.1"
"Howbeit I will not rend away all the kingdom; but will give one tribe to thy son for David my servant’s sake, and for Jerusalem’s sake which I have chosen."
Both passages refer to the division of the kingdom and its consequences. 1 Kings 11:13 speaks of the initial promise of a divided kingdom, while EGW discusses the long-term impact of that division.
"And the Lord was with Jehoshaphat, because he walked in the first ways of his father David, and sought not unto Baalim;"
Both passages touch on the theme of righteous kings and their impact. While EGW speaks generally about kings who exalted Jehovah, 2 Chronicles 17:3 provides a specific example of Jehoshaphat. The connection is thematic, though not a direct allusion.