That’s the general recipe of ultra-nationalistic fascism, yes. You’re not making much of a point and you’re also disregarding all the other instances of fascism.
A common thread being control, some times that can be through a local economical channel. That’s not immediately “Capitalism” and actually quite unrelated.
All fascism is nationalist. There’s no ‘other instance’. And a common theme in the rise of fascism is a compromise between the rich (capitalists, local gentry, etc.) and the fascist organisation, where the former bankrolls the latter in return for maintaining their economic and social position / backdoor deals / protection. Further, this usually happens as a result of some marginalised group - factory workers, serfs, women, etc. getting too uppity.
