I like the 13 int price. But the one level wizard fighter is not significantly more powerful* and pays with being a level behind forever... I'd rather use a feat on magic adept or ritual caster (which allows rituals up to level 9) and not be a level behind in fighter.Compared to a base fighter, this character will be MUCH more powerful in all 3 pillars. Shield, Silvery Barbs, Absorb Elements and cantrips alone ensure that is the case.
The 13 Intelligence (or Charisma for a Sorc) required to get these benefits is the price you pay for them.
*maybe if you only have one fight per long rest.