The whole e-bike categorization seems so simple to me. Omitting the "automobile" category (e.g. large-ish, enclosed-ish, fully motor-propelled, more than 2 wheels), a vehicle that is wholly self-propelled is a "motorcycle", one powered from a motor and/or pedals is a "mo-ped", one that powered only when human power is added (i.e. pedaling) is "bicycle" (or, more broadly, "human-powered vehicle") and one with an a boosting electric motor is an "e-bike." DMV categories already cover the first two.