Sure, but I think it makes sense to say that one market is more free than another, even when neither is controlled by a government. In many cases the reasons why it's good for governments to allow free markets are also reasons why its good for private entities to allow free markets.
Free markets are about voluntary interaction. This is a group of people deciding the rules that they'll trade with voluntarily. There's no reason the hours are what they are - the market could be open 1 hour or 24 -- deciding the opening times doesn't not mean it's not a free market.
