You don't own your property if you can't use it according to your will.

You don't own your means of production if you can't empoy it according to your will.

In a national socialist society, you are directed and coerced to use your property and employ the means of production you own according to the will of the state authority, not yours.

So the state does own your property and the means of production by such direction and coercion.

This is what socialists do as well.

The stated end goals might be different for both.

But the means used to achieve those stated goals are the same.

And those means used lead to suffering, violence and misery.