That sounds like a non-solution. Especially the reference to "the" free market, such a thing does not exist. You can't just take whatever market we have, with all its imperfections and then slap the label "free market" on it, it doesn't work that way.
If something is unfair, you shouldn't call it fair because of ideology.
For example, my primary objection to the idea that we have a free market is that we are mortal and are born with basic needs that must partially be acquired from the last generation. If people need land to live on, and land is owned by old people, then the young must appeal to the old to be allowed to exist on this planet. At that point, any attempt to call the market we have "free" becomes completely absurd because the term "free" now refers to the freedom of letting someone else take your freedom away.
In fact, most "free market" attempts are entirely about sweeping the problem under the rug and pretending it doesn't exist, which only makes it worse due to negligence. Just drop the damn "free", in Germany people just talk about the "market" in general. They just say "market economy". In fact one of the most common sarcastic phrases is "Der Markt regelt das", "the market is going to fix that" when talking about market failures.
In theory I agree that a free(=freedom) market would be good for everyone, but the amount of people that want a free(=freedom) market is incredibly small. Capitalists don't want a free(=freedom) market for example, because that would be the end of capitalism. They want a free(=without cost to capitalists) market, which is inherently against the idea of maximizing freedom and self determination.
Take Say's Law for example. If we postulate that Say's Law is correct and involuntary unemployment is impossible, then for our market to be "free(=freedom)", we should make it impossible to let the economy reach states that make involuntary unemployment possible. That means the ability to indefinitely defer spending shouldn't exist beyond the point that people agree to let someone defer spending. That would immediately break the idea of endless capital accumulation. Capital accumulation would have to stop at some point and that means the end of capitalism.
Who here is ready for the end of capitalism? Does anyone want to live in a market economy that isn't capitalism? Just a regular market? I doubt anyone is.