Not in any sense of the word free market is an enforced artificial market "free".
In fact, free market socialists see property rights on any productive property as skewing markets to favor the owners, which leads to wealth disparity and disproportionate ownership, making it not a free market. We see that today with free-market capitalism and the top 1%, which is why we have social welfare programs in place to redistribute wealth.
Free in free market usually refers to free will, and has little to do with disparity or disproportionality. You can choose to define free market however you wish but I think it's worth noting that you're out of line with how most people use language. Your point that property ownership is enforced is taken, but usually that's within the scope of "free" markets.
In fact, free market socialists see property rights on any productive property as skewing markets to favor the owners, which leads to wealth disparity and disproportionate ownership, making it not a free market. We see that today with free-market capitalism and the top 1%, which is why we have social welfare programs in place to redistribute wealth.