Socialism literally means the government controls the means of production!! Communism literally means the people control the means of production. Anti-statist socialists are inchoates who prove that words can be bent beyond meaning by anyone.

What many people seem to want is a mixed-market regulated economy/social democracy. Basically, they want Amsterdam in the United States. This is fine and it can be a variant of socialism but to call yourself an anti-statist and still want this is a bit special.