I made a wizard with minimum Intelligence, and I do not plan to even get the headband. There are so many great wizard spells that don't require high Int to work. All I need is Jump, Expeditious Retreat, Feather Fall, Fog Cloud, Sleep, Magic Missile, False Life, Grease, Mage Armor, Invisibility, Mirror Image, Misty Step, eventually Haste, etc.
Without the Int, you won't have many prepared spells though (int modifier + wizard level). So while int doesn't affect the spells you listed, you'll have to make choices about what to prepare.