Yes, an anarchist might be opposed to any law pushed through any government mechanism whatsoever including a popular vote. An anarchist would NOT, however, be opposed to a private arbitrator ruling that a business must label its product where the product might cause damage to the consumer without the consumer's knowledge of the products contents. If the arbitrator was applying common-law, then the arbitrator's decision SHOULD mirror the common-principles of the people which in turn would mirror a popular vote.
So its a distinction of form and not substance that isn't really the point of the debate. The anarchist who made the video chose to make it about form.
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