Hoppe's Theory of Argumentation

How is Hoppe not being “value-free”? You would need to prove that what Hoppe has logically argued is in fact what Hoppe values. Same as Mises. Mises in his book “Liberalism” states that to be a liberal it entails the protection of life, liberty, health, and private property. Obviously that’s John Locke’s natural rights. I link the quote. [second Mises quote in that post]

ok

ok. Natural rights involve that which is “subjective” and “objective” too.

You’re not arguing against rights. Rights are not axiomatic. Nobody has said they are. Life is axiomatic, but the right of life isn’t. Rights are a theory. If rights were axiomatic then there would either be always no criminals or always criminals. Depending on which side of the fence the axiom fell. You’re making a category error.