It's not about strictly "owning", it's about controlling. Control can be achieved in many different ways, including, but not limited to regulations. Socialism is an economic system, of which you can implements certain parts.
I didn't say "social policies". Socialist policies are a more specific subset of social policies, so all socialist policies are social policies, but not all social policies are socialist.
Regarding the European countries' degree of being socialist, it of course depends on the country. But on average, you might be right, and perhaps using "equally" was an exaggeration.