"And when they saw him, they were amazed: and his mother said unto him, Son, why hast thou thus dealt with us? behold, thy father and I have sought thee sorrowing. And he said unto them, How is it that ye sought me? wist ye not that I must be about my Father’s business?"
The EGW passage directly references Luke 2:48-49, making it a clear and explicit allusion.
"His life was one of constant self-sacrifice. He had no home in this world, except as the kindness of friends provided for Him as a wayfarer. He came to live in our behalf the life of the poorest, and to walk and work among the needy and the suffering. Unrecognized and unhonored, He walked in and out among the people for whom He had done so much. GW 42.3"
"And Jesus saith unto him, The foxes have holes, and the birds of the air have nests; but the Son of man hath not where to lay his head."
The EGW passage directly echoes the sentiment and situation described in Matthew 8:20, specifically Jesus' lack of a permanent home.