So this is what the Right has resorted to.
Can’t say I’m not surprised their by insistence on lumping their favourite ideology with socialism.
Anarchism is historically and deffinitionally leftist, anarchists believe in an absence of hierarchy, including the hierarchy of the state as well as of corporations
Capitalism without a state to support it is extremely unstable and cannot be upheld, therefore in order to defend their interests corporations will need to take on the role of the state through privately owned policing, and then there’s just another, far worse, state instead, with no oversight or interest in the people, who can do whatever they like and subjugate everyone to their will. Pretty much the opposite of anarchy.