That is not accurate and does not represent HOI IV timeline. At that time there were a lot of authoritarian regimes that could be called fascist or semi-fascist even if they did not call themselves that way. Mussolini's Italy was the prototype of Fascism. Hitlers' Nazi-Germany was not typical Fascism, it was an extreme form of it. Therefore, if we talk about right wing totalitarism, Fascism is the general term for it. Nazism does not represent typical fascism, but it's extreme form added with extreme racism that was not part of most other Fascist state ideologies.