I agree that you need define what both words mean and be very clear and concise about it.
Most people think the US is "capitalist" and "Free market" -- it is NOT. In reality, every business is regulated in some way or another. Everyone's home is controlled by regulations such as zoning, which affect its value. A town can decide they want an 'enterprise zone' downtown and can evict homeowners using the Eminent domain laws, basically creating its own little local version of a state-led economy. Some cities give away land and don't charge taxes to some of their favorite business friends, in the name of "redevelopment", at the cost of the citizens who now pay higher property taxes.
You'd need to find a completely free market somewhere in the world to use an example. Good luck doing that.
As soon as there is an organized government in control of a local economy, they generally go mucking around with economic issues, trying to gain control.