Very interesting comparison! There is some truth to this. Ideas in theory are exactly the same as in practice.

Anarchy and socialism are pretty much direct opposites however. Anarchy is the individual acting in their own self interest, freely with no central interfering force. Socialism is the individual acting on behalf of the group, through compulsion and sometimes to their own detriment.

Letting individuals be in control of their own destiny will always be preferable to me, even if it produces bad outcomes. Since I know the opposite will guarantee failure, at least those who can manage the responsibility well with anarchy can succeed.