True enough, in theory
The problem with your point here, though, is that we don’t have a free market, so no free market capitalism, so the thing that doesn’t exist isn’t providing the social progress…
…so it is left to government, which theoretically is the people, and in a free market, the government would be responsive to the people
The premise is not that social progress cannot be made through limited government and free market capitalism, it is that social progress is not being made with the government and market we have
For a more free market though, please consider global economic enfranchisement?
…and note that those countries have money, and fairly high tax rates