No, the biggest fans of “free markets” do not think that, in fact, they mock both the general idea of “market failure” and the specific places where people outside their faith identify such failures:
https://mises.org/library/market-failure
https://mises.org/library/market-failure-myth
https://mises.org/library/myth-market-failure
Central banking does not exist in a free market. Of course it will fail. Free markets are designed precisely to avoid the inevitable failure of a central authority.
You may have clicked on it, but I don’t see how you got that message from it. It argues that free markets are good, and that problems attributed to “market failure” are instead failures of other things (like central banking) that are not features of free markets. (All of the other pieces argue variations on the same thing; its plays a central role in the Mises Institute’s economic dogma.)