"When the apostles ascertained the cause of this visit and its attendant excitement, “they rent their clothes, and ran in among the people” in the hope of preventing further proceedings. In a loud, ringing voice, which rose above the shouting of the people, Paul demanded their attention; and as the tumult suddenly ceased, he said: “Sirs, why do ye these things? We also are men of like passions with you, and preach unto you that ye should turn from these vanities unto the living God, which made heaven, and earth, and the sea, and all things that are therein: who in times past suffered all nations to walk in their own ways. Nevertheless He left not Himself without witness, in that He did good, and gave us rain from heaven, and fruitful seasons, filling our hearts with food and gladness.” AA 182.1"
"And saying, Sirs, why do ye these things? We also are men of like passions with you, and preach unto you that ye should turn from these vanities unto the living God, which made heaven, and earth, and the sea, and all things that are therein:"
The EGW passage directly quotes Acts 14:15, making it a clear and undeniable explicit allusion.
"Notwithstanding the positive denial of the apostles that they were divine, and notwithstanding Paul's endeavors to direct the minds of the people to the true God as the only object worthy of adoration, it was almost impossible to turn the heathen from their intention to offer sacrifice. So firm had been their belief that these men were indeed gods, and so great their enthusiasm, that they were loath to acknowledge their error. The record says that they were “scarce restrained.” AA 182.2"
"And with these sayings scarce restrained they the people, that they had not done sacrifice unto them."
The EGW passage directly references and paraphrases Acts 14:18, indicating a clear and intentional connection.