"Up to this time all men had spoken the same language; now those that could understand one another's speech united in companies; some went one way, and some another. “The Lord scattered them abroad from thence upon the face of all the earth.” This dispersion was the means of peopling the earth, and thus the Lord's purpose was accomplished through the very means that men had employed to prevent its fulfillment. PP 120.1"
"Therefore is the name of it called Babel; because the Lord did there confound the language of all the earth: and from thence did the Lord scatter them abroad upon the face of all the earth."
EGW directly quotes and interprets Genesis 11:9, making the connection explicit.
"The Babel builders had indulged the spirit of murmuring against God. Instead of gratefully remembering His mercy to Adam and His gracious covenant with Noah, they had complained of His severity in expelling the first pair from Eden and destroying the world by a flood. But while they murmured against God as arbitrary and severe, they were accepting the rule of the cruelest of tyrants. Satan was seeking to bring contempt upon the sacrificial offerings that prefigured the death of Christ; and as the minds of the people were darkened by idolatry, he led them to counterfeit these offerings and sacrifice their own children upon the altars of their gods. As men turned away from God, the divine attributes—justice, purity, and love—were supplanted by oppression, violence, and brutality. PP 120.3"
"And God saw that the wickedness of man was great in the earth, and that every imagination of the thoughts of his heart was only evil continually."
Both passages describe a descent into wickedness and evil thoughts. The Genesis verse is a general statement about the pre-flood world, while the EGW passage applies it to the builders of Babel, but the thematic connection is clear.