How are church run soup kitchens and WIC (aka "food stamps") capitalism?

In GP's example, capitalism has made food production cheaper and less labor intensive so that more people can get it, relatively.

But for me, your example is capitalism in the sense that people do it of their own free will. They give up their time and resources to help others without coercion or compulsion. Capitalism is freedom to me, and a natural state that exists outside of the state where people can interact freely with one another. What they do with it is another question entirely.

Others, however, equate capitalism with greed and evil though.

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Both the cost of the food provided and the free time afforded to the people doing the work are results if capitalism.

It's hard to run a soup kitchen with no food or volunteers.

Great. Now that we've got there, can we move on to other goals?