It's a pretty varied group defined around a negative. That's like asking whether atheists believe a specific positive statement about the world. That said, to try to answer your question, my guess is left anarchists would say "absolutely not, capitalism is full of unjust hierarchy and the profit motive is bad news altogether", and right anarchists would say, "there's no such thing as the collective interest, but nobody gets to violate the individual rights of anyone else for whatever motive".
