"And when, after a trying season, help comes to you, when the Spirit of God is manifestly at work for you, what a precious experience you gain! You are obtaining faith and love, the gold that the True Witness counsels you to buy of Him. You are learning to go to God in all your troubles; and as you learn these precious lessons of faith, you will teach the same to others. Thus you may be continually leading the people to a higher plane of experience. GW 419.1"
"Come unto me, all ye that labour and are heavy laden, and I will give you rest. Take my yoke upon you, and learn of me; for I am meek and lowly in heart: and ye shall find rest unto your souls. For my yoke is easy, and my burden is light."
Both passages connect experiencing God's help during trials with learning valuable lessons and gaining faith. The EGW passage expands on the idea of learning to go to God in trouble and teaching others to do the same, echoing the 'learn of me' aspect of Matthew 11:29.
"from the field to settle difficulties and dissensions in the church. If the officers in the conference will, as faithful servants, perform their Heaven-appointed duties, the work in our conferences will not be left to become entangled in such perplexities as heretofore. And in laboring thus, the workers will become solid, responsible men, who will not fail nor be discouraged in a hard place. GW 419.2"
"And God hath set some in the church, first apostles, secondarily prophets, thirdly teachers, after that miracles, then gifts of healings, helps, governments, diversities of tongues."
Both passages discuss the roles and responsibilities of leaders within the church. 1 Corinthians 12:28 lists various roles, while the EGW passage focuses on the duties of conference officers and the qualities they should possess. The connection is present but not strong.
"There is One who is mighty to save to the uttermost all who come unto Him. Is not the promise broad and full, “Come unto Me, all ye that labor and are heavy laden, and I will give you rest”? [ Matthew 11:28 .] Why are we so unwilling to come directly to the Source of our strength? Have we not departed from the Lord in this? Should not our ministers and the presidents of our conferences learn whence cometh their help?... GW 419.3"
"Come unto me, all ye that labour and are heavy laden, and I will give you rest."
Ellen White directly references Matthew 11:28 in this passage.
"Wherefore he is able also to save them to the uttermost that come unto God by him, seeing he ever liveth to make intercession for them."
EGW directly quotes Matthew 11:28 and alludes to Hebrews 7:25. The connection is strong and intentional.