Not true. He did not say without private ownership you can or might end up with socialism. He said "without private ownership you have socialism." That is not a true statement.Wrong, you can have private ownership with socialism. Some terms like socialism are weightings, not absolutes.Capitalism is actually more than just private ownership. In fact, some types of capitalism don't even involve that. More details here:
Capitalism - Wikipedia the free encyclopedia
Wrong. Without private ownership you have socialism.
You reversed what he said. Clearly to your point you can have a centrally planned economy (socialism) with private ownership of assets. That is what fascism actually is. But to his point, you cannot have capitalism without privately owned assets
Give me an example of a system without private ownership that is not socialist