"In His parting conversation with His disciples on the night before the crucifixion the Saviour made no reference to the suffering that He had endured and must yet endure. He did not speak of the humiliation that was before Him, but sought to bring to their minds that which would strengthen their faith, leading them to look forward to the joys that await the overcomer. He rejoiced in the consciousness that He could and would do more for His followers than He had promised; that from Him would flow forth love and compassion, cleansing the soul temple, and making men like Him in character; that His truth, armed with the power of the Spirit, would go forth conquering and to conquer. AA 23.1"
"Looking unto Jesus the author and finisher of our faith; who for the joy that was set before him endured the cross, despising the shame, and is set down at the right hand of the throne of God."
Both passages focus on Jesus looking forward to the joy and victory beyond suffering, and encouraging believers to do the same. EGW's passage speaks of Jesus focusing on the future joys and the power of the Spirit, while Hebrews 12:2 speaks of the joy that was set before Him.
"“These things I have spoken unto you,” He said, “that in Me ye might have peace. In the world ye shall have tribulation: but be of good cheer; I have overcome the world.” John 16:33 . Christ did not fail, neither was He discouraged; and the disciples were to show a faith of the same enduring nature. They were to work as He had worked, depending on Him for strength. Though their way would be obstructed by apparent impossibilities, yet by His grace they were to go forward, despairing of nothing and hoping for everything. AA 23.2"
"These things I have spoken unto you, that in me ye might have peace. In the world ye shall have tribulation: but be of good cheer; I have overcome the world."
EGW directly quotes John 16:33.