"With the growing contempt for God's law there is an increasing distaste for religion, an increase of pride, love of pleasure, disobedience to parents, and self-indulgence; and thoughtful minds everywhere are anxiously inquiring, What can be done to correct these alarming evils? The answer is found in Paul's exhortation to Timothy, “Preach the word.” In the Bible are found the only safe principles of action. It is a transcript of the will of God, an expression of divine wisdom. It opens to man's understanding the great problems of life, and to all who heed its precepts it will prove an unerring guide, keeping them from wasting their lives in misdirected effort. AA 506.1"
"Preach the word; be instant in season, out of season; reprove, rebuke, exhort with all longsuffering and doctrine."
The EGW passage explicitly quotes 2 Timothy 4:2 ('Preach the word') and builds her argument around it.
"All scripture is given by inspiration of God, and is profitable for doctrine, for reproof, for correction, for instruction in righteousness:"
The EGW passage speaks of the Bible as a guide for correction and instruction, which aligns with the principle of 2 Timothy 3:16 that scripture is profitable for doctrine, reproof, correction, and instruction.
"Paul continued his charge: “Watch thou in all things, endure afflictions, do the work of an evangelist, make full proof of thy ministry.” Paul was about to finish his course, and he desired Timothy to take his place, guarding the church from the fables and heresies by which the enemy, in various ways, would endeavor to lead them from the simplicity of the gospel. He admonished him to shun all temporal pursuits and entanglements that would prevent him from giving himself wholly to his work for God; to endure with cheerfulness the opposition, reproach, and persecution to which his faithfulness would expose him; to make full proof of his ministry by employing every means within his reach of doing good to those for whom Christ died. AA 506.3"
"But watch thou in all things, endure afflictions, do the work of an evangelist, make full proof of thy ministry."
The EGW passage directly quotes 2 Timothy 4:5.