"He was always patient and cheerful, and the afflicted hailed Him as a messenger of life and peace. He saw the needs of men and women, children and youth, and to all He gave the invitation, “Come unto Me.” GW 43.1"
"Come unto me, all ye that labour and are heavy laden, and I will give you rest."
The EGW passage directly quotes and alludes to Matthew 11:28, making a clear connection.
"During His ministry, Jesus devoted more time to healing the sick than to preaching. His miracles testified to the truth of His words, that He came not to destroy, but to save. Wherever He went, the tidings of His mercy preceded Him. Where He had passed, the objects of His compassion were rejoicing in health, and making trial of their new-found powers. Crowds were collecting around them to hear from their lips the works that the Lord had wrought. His voice was the first sound that many had ever heard, His name the first word they had ever spoken, His face the first they had ever looked upon. Why should they not love Jesus, and sound His praise? As He passed through the towns and cities, He was like a vital current, diffusing life and joy.... GW 43.2"
"And Jesus went about all Galilee, teaching in their synagogues, and preaching the gospel of the kingdom, and healing all manner of sickness and all manner of disease among the people."
The EGW passage elaborates on the ministry of Jesus as described in Matthew 4:23, highlighting his healing and its impact on the people. It's a clear thematic parallel.
"The Saviour made each work of healing an occasion of implanting divine principles in the mind and soul. This was the purpose of His work. He imparted earthly blessings, that He might incline the hearts of men to receive the gospel of His grace. GW 43.3"
"And Jesus went about all the cities and villages, teaching in their synagogues, and preaching the gospel of the kingdom, and healing every sickness and every disease among the people."
The EGW passage expands on the idea presented in Matthew 9:35, that Jesus' healing ministry was intertwined with his preaching and teaching, aiming to bring people to the gospel.