A number of people have suggested additions or emendations. Here are a few more:

Others did not allow this, such as the Soviets, but their attempts to put industry entirely into the hands of the state were an abysmal failure, as the state became authoritarian, and the ambition to control trade through economic central planning failed miserably.

All the major socialist / communist nations (USSR, China, Venezuela, Cuba, North Korea, Zimbabwe) were essentially top-down rather than distributed. There was never a time when they weren’t authoritarian. In fact they were much more repressive than traditional aristocracies or what you’re calling modern neoliberal governments; artists had much more freedom of expression under Louis XIV or Thatcher than under Stalin and Zhdanov, for example. Pinochet is the rare neoliberalist to resort to widespread oppression (not that I’m defending Reagan or Thatcher — the main difference between them and Pinochet is arguably one of degree).

The first economist to formalize a concept of neoliberalism, Milton Friedman, preferred to let the free market rather than the government make economic decisions, but he believed the government should help out the poor. He did oppose corporate welfare, however. Reagan and later neoliberals favored corporate welfare and used their opposition to individual welfare to the poor as a smokescreen for trickling income up to the top. What is called neoliberalism today is almost nothing like Friedman’s model.

Under capitalism (even unregulated capitalism) workers are capable of forming co-operatives. My wife’s grandfather founded a successful co-op in which the workforce was racially integrated (in the deep south during the Jim Crow era), the profits were shared among the workers, and the operation of the plant made the safety and health of the workers a primary concern.