Exactly. All spells, be it wizardry or a prayer, have a classification.
Equipment can attune, repel, or deny you those different types of magics just like how the gods do, so really it shouldnt be any other way.
I used to have a talisman of Unified mind.
It was like a regular talisman, except it also gave +3 int (lowering casting costs across the board), and also gave (attuned: Self, Mind)