"Every worker will be tested as to whether he is laboring for the advancement of the Lord's institution, or to serve his own interests. Those who have been converted will give daily evidence that they are not seeking to use for their personal benefit the advantages and knowledge they have gained. They realize that divine providence has given them these advantages, that, as the Lord's instrumentalities, they may serve His cause by doing superior work. 7T 198.4"
"Let no man seek his own, but every man another’s wealth."
Both passages contrast serving one's own interests with serving others (or God's institution). This is a clear thematic parallel.
"None should work from love of praise, or ambition for supremacy. The true worker will do his best because in so doing he can glorify God. He will try to improve all his faculties. He will perform his duties as unto God. His one desire will be that Christ may receive homage and perfect service. 7T 198.5"
"Whether therefore ye eat, or drink, or whatsoever ye do, do all to the glory of God."
Both passages emphasize doing everything to the glory of God. This is a direct principle shared between the two.
"And whatsoever ye do, do it heartily, as to the Lord, and not unto men;"
The EGW passage directly echoes the sentiment of Colossians 3:23, emphasizing doing work as unto God rather than for personal gain. The connection is clear and strong.