Brethren, when perplexities arise in your conference, when emergencies are to be met, do not let these dark clouds drift into the General Conference if you can possibly avoid it. The president of the General Conference should not be burdened with the affairs of the State conferences, as has been the case in the past. If you, with your associates in the work, cannot adjust the troubles and difficulties that arise in your conference, how do you think that one man can do this work for all the conferences? Why should you pour all your perplexities and discouragements into the burdened mind and heart of the president of the General Conference? He cannot understand the situation as well as do you who are on the ground. If you shirk responsibility and crosses and burden-bearing, hard thinking and earnest praying, and look to the president of the General Conference to do your work and help you out of your difficulties, cannot you see that you lay upon him burdens that will imperil his life? Ha…
"For every man shall bear his own burden."
While EGW is discussing the burden of responsibility within the church leadership, the core idea of each person bearing their own burden is present in both passages. It's not a direct quote, but the theme is clearly related.
"I repeat, Do not throw your burdens upon the president of the General Conference. Do not expect him to take up your dropped stitches and bind off your work. Resolve that you will bear your own burdens through Christ who strengthens you. GW 415.2"
"Bear ye one another’s burdens, and so fulfil the law of Christ."
EGW's statement about bearing one's own burdens, while seemingly contradictory to Galatians 6:2, is presented in the context of not overburdening a leader. The underlying principle is about individual responsibility and not solely relying on others, which is a facet of bearing burdens. The 'through Christ who strengthens you' also alludes to the law of Christ.
"The president of the General Conference, if he is walking in the counsel of God, will not encourage his brethren to look to him to define their duty, but will direct them to the only Source that is untainted with the errors of humanity. He will refuse to be mind and conscience for others.... GW 415.3"
"For who hath known the mind of the Lord, that he may instruct him? But we have the mind of Christ."
The EGW passage emphasizes that the leader should not be 'mind and conscience for others' and should direct them to God. This aligns with the idea of having the mind of Christ and not relying on human instruction alone. It's a thematic parallel rather than a direct quote or explicit allusion.