"But before the priests had come up out of the river, that this wonderful miracle might never be forgotten, the Lord bade Joshua select men of note from each tribe to take up stones from the spot in the river bed where the priests had stood, and bear them upon their shoulders to Gilgal, and there erect a monument in remembrance of the fact that God had caused Israel to pass over Jordan upon dry land. This would be a continual reminder of the miracle that the Lord had wrought for them. As years passed on, their children would inquire concerning the monument, and again and again they would recount to them this wonderful history, till it would be indelibly impressed upon their minds to the latest generation. 4T 158.2"
"That this may be a sign among you, that when your children ask their fathers in time to come, saying, What mean ye by these stones?"
The EGW passage is a clear retelling and amplification of the events described in Joshua 4, specifically referencing the purpose of the stones as a reminder for future generations to inquire about God's miraculous intervention.
"When all the kings of the Amorites and the kings of the Canaanites heard that the Lord had stayed the waters of Jordan before the children of Israel, their hearts melted with fear. The Israelites had slain two of the kings of Moab, and their miraculous passage over the swollen and impetuous Jordan filled the people with great terror. Joshua then circumcised all the people that had been born in the wilderness. After this ceremony they kept the Passover in the plains of Jericho. “And the Lord said unto Joshua, This day have I rolled away the reproach of Egypt from off you.” 4T 158.3"
"And it came to pass, when all the kings of the Amorites, which were on the side of Jordan westward, and all the kings of the Canaanites, which were by the sea, heard that the Lord had dried up the waters of Jordan from before the children of Israel, until we were passed over, that their heart melted, neither was there spirit in them any more, because of the children of Israel."
The EGW passage directly quotes and elaborates on the events described in Joshua 5:1, including the kings' fear and the subsequent circumcision and Passover observance. The connection is explicit and central to the narrative.
"Heathen nations had reproached the Lord and His people because the Hebrews had failed to possess the land of Canaan, which they expected to inherit soon after leaving Egypt. Their enemies had triumphed because Israel had wandered so long in the wilderness, and they proudly lifted themselves up against God, declaring that He was not able to lead them into the land of Canaan. The Lord had now signally manifested His power and favor by leading His people over Jordan on dry land, and their enemies could no longer reproach them. The manna, which had continued up to this time, now ceased; for as the Israelites were about to possess Canaan, and eat of the fruits of that goodly land, there was no more need of it. 4T 158.4"
"And the Lord said unto Joshua, This day have I rolled away the reproach of Egypt from off you. Wherefore the name of the place is called Gilgal unto this day."
Both passages discuss the removal of reproach after the Israelites crossed the Jordan. EGW expands on the nature of the reproach and the reasons for it, but the core theme is directly linked.