Think of SCH being similar to Alchemists from Full Metal Alchemists. They draw/create arcane geoemetric patterns using aether o their book to weave effects into existence. So they turn to a page on their grimoire of the Adloquiem spell and swipe their hands over it, empowering it with their aether, then the spell "activates", healing and shielding the players.
It's magic but rather than the effect being some primordial energy, it's more complex. It uses aether like magic, but the command is "executed" according to the geoemetric patterns/blueprints (which is like programming code), which the aether follow. For plain mages, their subconscious controls the flow of the aether to carry out the effects. Think of White Mage and Black Mage as musicians. They play instruments to make beautiful music. Scholar also makes music, but they use a computer. The code/programs/scripts they use tells electricity how to produce sound. Both the mages and the scholar use "electricity", the mages use their body's own bioelectricity and the scholar uses an external device powered by electricity. The outcomes are similar but the tool is different.
