That's a great question. The traditions are no help because they're all over the place, and a high level view has hermetics view magic as a science and shamans view magic as more spiritual.
Maybe philosophy could work as a reference. If hermetics are the empiricists of philosophy, realism could perhaps be the alternative.
Alternatively, maybe the study of metaphysics could be applied to Intuition based magic. Metaphysics include realism and a host of other theories. More importantly, I just like the term metaphysicist

Alternatively alternatively, pragmatism is certainly different from hermeticism and shamanism. While the hermetics want to study and codify magic and the shamans want to commune with the spirits and achieve harmony with nature, the pragmatics just use magic as they want/need to and don't question why. In other words, they're more focused on action rather than words.
Of course, it's been a long time since my introduction to philosophy course, so I could be entirely off on all of this
