A core part of fascism is economic control and corporatism (nationalizing corporations and controlling private property).

This isn’t corporatism. Corporatism refers to corporations having control over the state, and using it against the working classes. You’re confusing corporatism for its very opposite.

Just because a fascist government takes control of it doesn’t mean it ceases to be private property. They still defer to the property owners, who often become wealthy. This would not happen if the public owned it, as everyone would be enriched instead. People like Jack Ma could never be worth billions.

This is extremely confused. Jack Ma is an owner of Alibaba, not publicly owned industry like China’s SOEs. The public does not own Alibaba, the public owns SOEs, which eclipse Alibaba in size and scope. Alibaba is small compared to the huge SOEs in China.

China permits and thrives on such government controlled private property.

China thrives on public ownership of the large firms and key industries, and private ownership of sole proprietorships, agricultural cooperatives, and small and medium firms. As these firms grow, they are folded into the public sector.

Throw away that textbook you mentioned earlier.

Actually, on second thought, link it here, I want to see whoever is publishing that nonsense.