The only consistent components of fascism are an autocratic government and a dictatorial ruler, severe economic and social regimentation, and forcible nationalism through suppression of opposition.
This is authoritarian nationalism, not fascism. All fascism is nationalist and authoritarian, not all nationalism or authoritarianism is fascist. Bismarck, Churchill and Erdogan are/were authoritarian nationalists, but I wouldn’t call any of them fascist.
This is authoritarian nationalism, not fascism.
They’re not defining fascism, they’re listing the consistent components. Their post is completely agreeing with your statement: “All fascism is nationalist and authoritarian, not all nationalism or authoritarianism is fascist.”