You are mixing up different ideas again. It is true that anarchy is necessary for a free market. The way we understand how to take us away from anarchy is to place restrictions on possible markets! But anarchy can also exist without a free market. Anarchy isn't another point on the so-called continuum. Like socialism, it is looking at something else entirely.
A "free market" where the market isn't free doesn't make sense linguistically or within what "free market" is defined as. Of course a situation where some submarkets are unconstrained and others restricted can exist — not only can, that's how we already live — but when that occurs we call it a mixed economy. Our current world exists under a mixed economy.
I suspect your confusion stems from trying to apply the ideas of free market, which refers to a broad market economy, onto only the submarkets that are unconstrained. If you could magically ignore all the restricted markets then your logic would be reasonable, but in the real world we cannot ignore the rest of the world around us. It exists whether you like it or not. Unfortunately there is no generally accepted term for this, which is no doubt why you've wanted to use "free market" to fill the void, despite it already having a different meaning, but "unregulated market" is the one I have seen used most often in that context. You might consider using that going forward. I expect most will understand what you are trying to say without confusing them into thinking you are talking about free market in the proper sense and will allow you to converse with those who already made it clear that they were talking about free market in the proper sense.
A "free market" where the market isn't free doesn't make sense linguistically or within what "free market" is defined as. Of course a situation where some submarkets are unconstrained and others restricted can exist — not only can, that's how we already live — but when that occurs we call it a mixed economy. Our current world exists under a mixed economy.
I suspect your confusion stems from trying to apply the ideas of free market, which refers to a broad market economy, onto only the submarkets that are unconstrained. If you could magically ignore all the restricted markets then your logic would be reasonable, but in the real world we cannot ignore the rest of the world around us. It exists whether you like it or not. Unfortunately there is no generally accepted term for this, which is no doubt why you've wanted to use "free market" to fill the void, despite it already having a different meaning, but "unregulated market" is the one I have seen used most often in that context. You might consider using that going forward. I expect most will understand what you are trying to say without confusing them into thinking you are talking about free market in the proper sense and will allow you to converse with those who already made it clear that they were talking about free market in the proper sense.