Because their ideology translates to a mix of traditionally left and traditionally right policies. Broadly speaking, it tends to be extreme right culturally and center-left economically.
What you said sounded like a bold claim. I just wanted to understand if you understand the implications of applying that label. I wanted to know if you understand the reason.
I'm not gonna blindly fight based on a vague idea that history is repeating itself. Or should I? (rethorical).
You seem like a very educated person with broad historical knowledge. Why use cheap accusations to put your ideas forward? (rethorical).
What is the bold claim? That fascists refer to themselves as "third position"? That's literally textbook history. Or that modern-day GOP, now fully taken over by the Christian nationalist wing, is also a "third position" party, and that is why their de facto platform (as evidenced by what they're literally doing right now) is the way it is? That's a simple observation.
Nazi Germany, for example, had quite a few explicitly socialist programs such as https://en.wikipedia.org/wiki/Strength_Through_Joy.