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Just try explaining that “as” is used with clauses while “like” takes a direct object when your audience hasn’t the haziest idea what a clause or a direct object is, and don’t expect your average American to infer that a direct object will hence take the accusative case. In the absence of any structural grasp, even examples (“as I do” versus “like me”) won’t make a lasting impression, and meantime you’ve merely identified yourself as a pain in the butt.