"Paul's efforts in Corinth were not without fruit. Many turned from the worship of idols to serve the living God, and a large church was enrolled under the banner of Christ. Some were rescued from among the most dissipated of the Gentiles and became monuments of the mercy of God and the efficacy of the blood of Christ to cleanse from sin. AA 252.1"
"And such were some of you: but ye are washed, but ye are sanctified, but ye are justified in the name of the Lord Jesus, and by the Spirit of our God."
Both passages discuss the transformation of believers from a sinful past to a life cleansed by Christ. EGW amplifies the impact of this transformation in Corinth, echoing the sentiment in 1 Corinthians 6:11.
"And many that believed came, and confessed, and shewed their deeds."
Both passages describe people turning away from their former lives and confessing/showing their deeds after believing. While Acts 19:18 is about confessing deeds, the EGW passage describes a similar turning away from sin and idolatry.
"The increased success that Paul had in presenting Christ, roused the unbelieving Jews to more determined opposition. They rose in a body and “made insurrection with one accord against Paul, and brought him to the judgment seat” of Gallio, who was then proconsul of Achaia. They expected that the authorities, as on former occasions, would side with them; and with loud, angry voices they uttered their complaints against the apostle, saying, “This fellow persuadeth men to worship God contrary to the law.” AA 252.2"
"And when Gallio was the deputy of Achaia, the Jews made insurrection with one accord against Paul, and brought him to the judgment seat,"
The EGW passage directly quotes and references the events described in Acts 18:12, making it a clear and direct allusion.