Raving, what BloodShadow is saying is that fire bolt uses FIRE quanta to power itself. There is none in this case.
However, the advanced spells drain all the quanta of an element.
Even though in a sense you are right about that, it is, all in all, an ADVANCED spell, and should be treated accordingly. If it makes you feel any better, a note could probably be placed on Overdrive stating this as an aftereffect as well.