West Virginia State Board of Education v. Barnette, 319 U.S. 624 (1943), is a decision by the Supreme Court of the United States holding that the Free Speech Clause of the First Amendment to the United States Constitution protected students from being forced to salute the American flag and say the Pledge of Allegiance in school. The Court's 6–3 decision, delivered by Justice Robert H. Jackson, is remembered for its forceful defense of free speech and constitutional rights generally as being placed "beyond the reach of majorities and officials."
It was a significant court victory won by Jehovah's Witnesses, whose religion forbade them from saluting or pledging to symbols, including symbols of political institutions
Bowing down or saluting flags is a form of idolatry.
Bowing down to Jesus is a form of respect.
The Greek word used is:
G4352 προσκυνέω proskuneō
3) in the NT by kneeling or prostration to do homage (to one) or make obeisance, whether in order to express respect or to make supplication
3a) used of homage shown to men and beings of superior rank
No one will argue that Jesus isn't of superior rank; no one will argue that Jesus doesn't reserve respect.
Especially since it is God who appointed Jesus to this position.
Who gives the governments their authority?
(Luke 4:5, 6) 5 So he brought him up and showed him all the kingdoms of the inhabited earth in an instant of time. 6 Then the Devil said to him: “I will give you all this authority and their glory, because it has been handed over to me, and I give it to whomever I wish.
(Revelation 13:2) 2 Now the wild beast that I saw was like a leopard, but its feet were like those of a bear, and its mouth was like a lion’s mouth. And the dragon gave to the beast its power and its throne and great authority.
To bow down to those whom Satan has given power and authority is to reject the one whom Jehovah appointed.