Nazism gave the pretense of private ownership. in theory you owned your own business but in reality the Nazi party controlled the production process. Yes you had the pretense of owning your own home but again, the Party told you how you were going to live in it.
They werent really interested in owning your home. They were interested in control and thats why the gestapo.
The businesses? Yup, they said shit and the owners said what color and how much.