I think i only used draw in my first few playthroughs before learning how to refine magic from the obscene amount of cards and mug items i had just lying around.

Even beating first optional boss, the mechanical spider x-something at Dollet doesn't require draw at all. You can get everthing you need by playing cards with the students at the library, cafeteria and front gate.

It seems as if draw was meant as a last resort in case you didn't wanna play cards or were stuck out of magic to junction. I do think they should explain you will unlock ways to refine magic from GF abilities in the tutorial though.