"The same master spirit that urged on the St. Bartholomew Massacre led also in the scenes of the Revolution. Jesus Christ was declared to be an impostor, and the rallying cry of the French infidels was, “Crush the Wretch,” meaning Christ. Heaven-daring blasphemy and abominable wickedness went hand in hand, and the basest of men, the most abandoned monsters of cruelty and vice, were most highly exalted. In all this, supreme homage was paid to Satan; while Christ, in His characteristics of truth, purity, and unselfish love, was crucified. GC 273.1"
"If they shall fall away, to renew them again unto repentance; seeing they crucify to themselves the Son of God afresh, and put him to an open shame."
Both passages describe a rejection and symbolic 'crucifixion' of Christ, although the EGW passage refers to a societal rejection during the French Revolution, while Hebrews speaks of individual apostasy. The connection is thematic, not direct.
"“The beast that ascendeth out of the bottomless pit shall make war against them, and shall overcome them, and kill them.” The atheistical power that ruled in France during the Revolution and the Reign of Terror, did wage such a war against God and His holy word as the world had never witnessed. The worship of the Deity was abolished by the National Assembly. Bibles were collected and publicly burned with every possible manifestation of scorn. The law of God was trampled underfoot. The institutions of the Bible were abolished. The weekly rest day was set aside, and in its stead every tenth day was devoted to reveling and blasphemy. Baptism and the Communion were prohibited. And announcements posted conspicuously over the burial places declared death to be an eternal sleep. GC 273.2"
"And when they shall have finished their testimony, the beast that ascendeth out of the bottomless pit shall make war against them, and shall overcome them, and kill them."
The EGW passage directly quotes and interprets Revelation 11:7, applying it to the atheistic power in France during the Revolution. The connection is clear and intentional.