Magic Tweak, What would happen if... Options

[Eyeless Blond]

What do you suppose would happen to game balance is mages swapped Magic and their tradition's stat for conjuring and sorcery tests? What I mean is, for instance:

1) Mage rolls (Attribute)+Sorcery skill to cast a spell, like Logic+Spellcasting for a hermetic, or Charisma+Spellcasting for a shaman
2) Mage rolls Magic+Willpower for Drain.

I'm thinking this could be a good idea for limiting the power of mages in the long term. This way, instead of using the cap-less Magic attribute for actual spellcasting--thus as you gain in power easily overshadowing the Opposed character's dice pool--they "only" use their attribute cap-breaking Magic stat to help resist Drain. It also makes that primary stat for a mage's tradition even more integral to their actual spellcasting rather than Drain, which makes more sense to me flavor-wise.

So, what do you think? Am I missing something important?