"The experiences of that day led Nebuchadnezzar to issue a decree, “that every people, nation, and language, which speak anything amiss against the God of Shadrach, Meshach, and Abednego, shall be cut in pieces, and their houses shall be made a dunghill.” “There is no other god,” he urged as the reason for the decree, “that can deliver after this sort.” PK 510.2"
"Therefore I make a decree, That every people, nation, and language, which speak any thing amiss against the God of Shadrach, Meshach, and Abed–nego, shall be cut in pieces, and their houses shall be made a dunghill: because there is no other God that can deliver after this sort."
EGW directly quotes Daniel 3:29 regarding Nebuchadnezzar's decree.
"It was right for the king to make public confession, and to seek to exalt the God of heaven above all other gods; but in endeavoring to force his subjects to make a similar confession of faith and to show similar reverence, Nebuchadnezzar was exceeding his right as a temporal sovereign. He had no more right, either civil or moral, to threaten men with death for not worshiping God, than he had to make the decree consigning to the flames all who refused to worship the golden image. God never compels the obedience of man. He leaves all free to choose whom they will serve. PK 510.4"
"And if it seem evil unto you to serve the Lord, choose you this day whom ye will serve; whether the gods which your fathers served that were on the other side of the flood, or the gods of the Amorites, in whose land ye dwell: but as for me and my house, we will serve the Lord."
Both passages emphasize the principle of free choice in serving God, contrasting with forced worship. EGW's statement directly echoes the sentiment in Joshua 24:15.