Fighters have Action Surge, and a choice of Manuevers, Spells, or Improved Crit chance. No one else makes as many attacks in a turn as the Fighter either.
The Wizard has school features and then a bunch of spells two classes directly steal from (EK and AT), and that one class can steal from (Bard).
They've nothing to make them unique as a spellcaster the way Fighters do as a weapon swinger.
Sooo, what you get as a Fighter subclass and that no one else makes as many attacks "counts." But what you get as a Wizard subclass and that no one else gets as many spells doesn't?
Got it. That's for clearing up your "reasoning." Byee.
Every other full spellcaster gets to cast just as many spells, so the Wizard getting more spells is an illusionary benefit. And I specifically said that the Wizard's school features count. 'Thanks for clearing up your ability to read.' To end on an equally insulting note.