Flights of Fancy
Candy is King
No. A wizard must study and learn how to read, comprehend, cast, etc. from the spellbook by a teacher. That is option 2, the way it works now. This is why it makes not sense to be subclass of sorcerer. There is no gift for Wizard.Which is the way it works now and the way it works with my take. You seem to want to change the wizard class so anyone can pick up a wizard spell book and use it immediately?
If you run your game where wizards must still have a gift before they can learn like Harry Potter, then option 1 wizard as subclass of sorcerer works fine. But with option 2, no gift, it makes no sense.