"Owing allegience" does not require taking an oath. Non-sworn citizens can be charged and convicted of treason. Cramer v. United States 325 U.S. 1 (1945)
Those in the military are subject to UCMJ, a diffent body of law. See UCMJ Article 104 for aiding the enemy.
Cramer was naturalized.
Naturalization Oath of Allegiance to the United States of America
https://www.uscis.gov/us-citizenship/naturalization-test/naturalization-oath-allegiance-united-states-america
You may be one of those people that chases its tail with half-baked arguments. I know I can be mean but it runs in my family. It is what Donald Trump describes as “tough but loving”.
So my advice is to give it a rest, try to do better, and above all do not bring views based on ‘incomplete’ information to a discussion, or if you do, have the class to apologize and pledge to do better or thank those that pointed to the errors.
I will give you this, your contributions are not lies or unintended prevarications. You bring good things but they are sometimes ‘incomplete’ things. That word ‘incomplete’ is vitally important and forms a philosophy that occupies a large part of the literature of the minds that lead today’s leading edge in computer intelligence, artificial intelligence (AI) development.
If you become interested in the Philosophy of Incompleteness, start with Kurt Gödel, an admired contemporary and mentor, yes mentor, of Albert Einstein at Princeton. Gödel is arguably the greatest philosopher of the 20th Century and perhaps since Aristotle. The revolutionaries of the computer age know this.
And it would be incredibly kind and gracious to receive an apology or thank you. I know I am one to humble myself and thank a person that has corrected me. I don’t claim to know all things but I’ve been around to know a great many things and some things like ‘Incompleteness’ in mathematical theory is one thing in which I am considered a world expert.