Similarly:
Is every good or service-providing entity privately owned? No? Then it's not capitalism.
Is the fire department part of the government (i.e. worker-owned), or is it a private entity? Do you have pinkertons or police? Are there soldiers, or are the armed forces entirely mercenaries? Are roads privately owned? When people get old and need some kind of regular monthly payment, does that payment come exclusively from private insurance policies and/or investments, or are the payments provided by fellow workers in the form of a government benefit?
Every modern economy is a mixed system involving some capitalist elements and some socialist elements.