No, it's the Ritual that's "Magician of Black Chaos" in OCG.
DMoC is "Konton no Kuromajutsushi". So that anon is right, DMoC is neither a "Dark Magician" nor a "Chaos" (Kaosu) monster. The "Chaos" in DMoC's name uses "Konton" instead.
For someone wondering why this card is a good card for DMoC because there is a quick play spell that allow you tribute Dark magician on the field to special summon DMoC, You just need to destroy your own mahad with card effects and DMoC is a good card to Combo with Kiwi and Chocolate magician girl too