"The palm tree, beaten by the scorching sun and the fierce sandstorm, stands green and flourishing and fruitful in the midst of the desert. Its roots are fed by living springs. Its crown of verdure is seen afar over the parched, desolate plain; and the traveler, ready to die, urges his failing steps to the cool shade and the life-giving water. Ed 116.1"
"The righteous shall flourish like the palm tree: he shall grow like a cedar in Lebanon."
Both passages use the image of a palm tree to represent righteousness/flourishing. EGW elaborates on the imagery, adding details about the desert and the traveler, but the core idea is present in both.
"The tree of the desert is a symbol of what God means the life of His children in this world to be. They are to guide weary souls, full of unrest, and ready to perish in the desert of sin, to the living water. They are to point their fellow men to Him who gives the invitation, “If any man thirst, let him come unto Me, and drink.” John 7:37 . Ed 116.2"
"In the last day, that great day of the feast, Jesus stood and cried, saying, If any man thirst, let him come unto me, and drink."
Ellen White directly references John 7:37 in this passage.
"The wide, deep river, that offers a highway for the traffic and travel of nations, is valued as a world-wide benefit; but what of the little rills that help to form this noble stream? Were it not for them, the river would disappear. Upon them its very existence depends. So men called to lead in some great work are honored as if its success were due to them alone; but that success required the faithful co-operation of humbler workers almost without number—workers of whom the world knows nothing. Tasks uncommended, labor without recognition, is the lot of most of the world's toilers. And in such a lot many are filled with discontent. They feel that life is wasted. But the little rill that makes its noiseless way through grove and meadow, bearing health and fertility and beauty, is as useful in its way as the broad river. And in contributing to the river's life, it helps achieve that which alone it could never have accomplished. Ed 116.3"
"And the eye cannot say unto the hand, I have no need of thee: nor again the head to the feet, I have no need of you."
Both passages emphasize the importance of all parts working together, even the seemingly insignificant ones. EGW uses the analogy of a river and its rills, while 1 Corinthians 12:21 uses the analogy of the body. The underlying principle of interdependence is the same.