Yeah, the Players Handbook discussion of the "weave" also distinguishes between arcane and divine. The distinction is without mechanics, and often vague − and even debatable such as the Bard − but it does exist.
Plus, the "psionic tag" officially exists.
The designers mention the "power sources", explicitly arcane, divine, psionic, and primal, and "others", probably including martial.
The "sources" are a powerful organizer of themes and tropes, and invite a mechanical design space for future products.