and it doesn't mean "leader" because you can have a leader in a Anarchist world.
it means no "domination" no force to turn you in a way.
you can voluntarily follow a leader in anarchism.
this fact turn your sentence into nonsense:"Anarchy means without leaders"
many types of anarchism means if you are not social its anormalism.
if you prefer capitalism in your world its anarcho-capitalism
but the original true Anarchism is a social movement with no domination means no force and only voluntarily follow a leader or voluntarily follow a group.
and your "Somalia" bullshit point is only about your inability to make a different between Anarchism as a social movement and Anormalism as a egocentric movement.