I'm not pretending the market doesn't exist, I just explain some of its limitations. I admit I could have explained this better. The thing that matters is choice. Without it, there's no free market. Healthcare is not a free market for urgent issues because you can't afford to shop around. Especially if an ambulance is involved, you just get taken to the nearest hospital. Depending on where you live, you may not be able to shop around much for non-emergency issues either.

With jobs, people with ample financial reserves can afford to shop around, but people who live paycheck to paycheck can't.

With food, well, it depends on how many different places sell food. Fortunately, there's usually no shortage of shops selling food. The market for expensive food is absolutely free, because I can say no and eat something cheap instead. But the market for cheap food does indeed not behave like a normal free market, as any economist can tell you: when prices for the cheapest foods go up, people will actually buy more, because they won't be able to afford more expensive food. And if one company had a monopoly on all food and set prices for all food high, it would not be a free market anymore, though that's true for any monopoly. Still, if it were a monopoly on something non-essential, people could still say no.

A free market requires competition. When no competition is possible, there's no free market. When there's an army of unemployed people desperately hunting for jobs, companies can afford to be picky and underpay them; there's no meaningful competition to hire those people, who can't afford to say no, because the only alternative for them is to be unemployed. This can lead to a situation where even people with a job have trouble making ends meet.