That's a stronger definition, but it's still weak because it isn't primary source material. This guy isn't a disinterested political historian. Imagine taking as definition the views of Giovanni Gentile on Marxism.
I wouldn't call any of these groups "fascist" except in the loose pejorative sense
The closest governments to actual Fascism that I can think of are governments like modern China or even Singapore, and I don't mean that in a pejorative sense. They're just very fascist in character, i.e. national interest, social welfare, strong-arming of capital, etc.