Do you consider the American military healthcare system socialized medicine?

When I tell people I grew up in socialized medicine, because my dad was in the uniformed services and we received all military benefits, some people say, “that’s not socialized medicine, that’s the military.” I really don’t understand what they mean. Isn’t our military run by our government? It was free, even medicine is free, doctors are salaried, they do watch costs, they even have preference to certain drugs (probably cheaper) similar to insurance companies. They run it often times similar to the HMO model of seeing a primary doctor first.