The reign of Hezekiah was characterized by a series of remarkable providences which revealed to the surrounding nations that the God of Israel was with His people. The success of the Assyrians in capturing Samaria and in scattering the shattered remnant of the ten tribes among the nations, during the earlier portion of his reign, was leading many to question the power of the God of the Hebrews. Emboldened by their successes, the Ninevites had long since set aside the message of Jonah and had become defiant in their opposition to the purposes of Heaven. A few years after the fall of Samaria the victorious armies reappeared in Palestine, this time directing their forces against the fenced cities of Judah, with some measure of success; but they withdrew for a season because of difficulties arising in other portions of their realm. Not until some years later, toward the close of Hezekiah's reign, was it to be demonstrated before the nations of the world whether the gods of the heathen were…
"And in very deed for this cause have I raised thee up, for to shew in thee my power; and that my name may be declared throughout all the earth."
Both passages discuss God's power being displayed to other nations. Exodus 9:16 speaks of God raising up Pharaoh to show His power, while the EGW passage discusses Hezekiah's reign as a demonstration of God's power to surrounding nations. The thematic parallel is valid.