Markets exist with or without government, governments make markets more stable and handle cases of market failures, and markets do fail. But under no case is government intervention a free market solution. Lack of government does not abolish rules or property rights, it just changes how those things are enforced as it leaves everyone to defend their own property and it leaves enforcement of rules to private security forces.
I'm not claiming government intervention isn't good; I'm simply arguing you can't call it a free market solution, because it isn't. Taxes are not free market solutions.
So if we remove those completely, take away rule of law, abolish property rights and all of that.
Would there then exist a market to speak of at all? Would it be “free”?