The Japanese name of this archetype (魔鍵Maken) is a combination of the kanji「魔」 (Ma, "demon"/"magic") and 「鍵」 (Ken, "key"), and is a homophone of Maken (魔剣, lit. "Demon Sword"). The names of the "Magikey" Ritual Monsters and Extra Deck monsters are derived from the devils belonging to "Solomon's 72 Pillars" from the The Lesser Key of Solomon.
It's also possible that the archetype draws at least some inspiration from Kingdom Hearts, a series of video games created as a collaboration between Square Enix and The Walt Disney Company. Not only do they have a similar visual style, but the flavor text for Clavkiys, the Magikey Skyblaster refers to the Magikey Maftea as being able to open doors to other worlds, not unlike the Keyblade from Kingdom Hearts. In addition, the Magikey Maftea demonstrates the ability to change forms (as seen in Magikey Mechmortar - Garesglasser and Magikey Mechmusket - Batosbuster), similar to the Keyblade's Formchange ability. The flavor text for Clavkiys also uses the phrase "the worlds will be connected", paraphrasing a recurring line from the Kingdom Hearts series; "this world is connected".