"Christ applied these prophecies to Himself, and He showed the contrast between His own character and that of the leaders in Israel. The Pharisees had just driven one from the fold, because he dared to bear witness to the power of Christ. They had cut off a soul whom the True Shepherd was drawing to Himself. In this they had shown themselves ignorant of the work committed to them, and unworthy of their trust as shepherds of the flock. Jesus now set before them the contrast between them and the Good Shepherd, and He pointed to Himself as the real keeper of the Lord's flock. Before doing this, however, He speaks of Himself under another figure. DA 477.1"
"I am the good shepherd: the good shepherd giveth his life for the sheep."
The EGW passage directly references and interprets John 10:11, drawing a contrast between Christ as the Good Shepherd and the Pharisees. This is a strong thematic parallel.
"He said, “He that entereth not by the door into the sheepfold, but climbeth up some other way, the same is a thief and a robber. But he that entereth in by the door is the shepherd of the sheep.” The Pharisees did not discern that these words were spoken against them. When they reasoned in their hearts as to the meaning, Jesus told them plainly, “I am the door: by Me if any man enter in, he shall be saved, and shall go in and out, and find pasture. The thief cometh not, but for to steal, and to kill, and to destroy: I am come that they might have life, and that they might have it more abundantly.” DA 477.2"
"Verily, verily, I say unto you, He that entereth not by the door into the sheepfold, but climbeth up some other way, the same is a thief and a robber."
The EGW passage directly quotes John 10:1, making it a clear explicit allusion.
"The thief cometh not, but for to steal, and to kill, and to destroy: I am come that they might have life, and that they might have it more abundantly."
EGW directly quotes and explains John 10:10.
"Christ is the door to the fold of God. Through this door all His children, from the earliest times, have found entrance. In Jesus, as shown in types, as shadowed in symbols, as manifested in the revelation of the prophets, as unveiled in the lessons given to His disciples, and in the miracles wrought for the sons of men, they have beheld “the Lamb of God, which taketh away the sin of the world” ( John 1:29 ), and through Him they are brought within the fold of His grace. Many have come presenting other objects for the faith of the world; ceremonies and systems have been devised by which men hope to receive justification and peace with God, and thus find entrance to His fold. But the only door is Christ, and all who have interposed something to take the place of Christ, all who have tried to enter the fold in some other way, are thieves and robbers. DA 477.3"
"I am the door: by me if any man enter in, he shall be saved, and shall go in and out, and find pasture."
EGW directly quotes and expands upon the concept of Jesus as the door from John 10:9.
"The next day John seeth Jesus coming unto him, and saith, Behold the Lamb of God, which taketh away the sin of the world."
EGW directly quotes John 1:29.