You are incorrect. Fascism allows the individual to own property but tells them what they can do with it.
Neither socialism nor communism allows that.
No, say you own the property, but if you do not use it as the government directs you to use it, it’s off to prison for you. Why is ownership with out control? It is not ownership. Fascism is a variation on socialism / communism. It is a liberal lie that fascism is right wing, it is solidly on the side of the left.
I believe some of the variants of German socialism did allow for private property - they just regulate and control one’s use of it. Pre and post WWII thinking.
I agree with your definition clarification. And by that definition, Hillary is the fascist.