Saeviomagy
Adventurer
What benefit are they double dipping on? They get to shore up their strength checks, carry capacity and strength save, and get a wider choice of backup weapons. Game broken? What?There is really only one place where they break the game a bit: When a high dex melee character takes the high strength items. Then they get the double dip benefit of a high dexterity and strength.
The wizard with an 8 intelligence still has to live with an 8 intelligence for the time he doesn't have the headband, and he's going to be 1 point worse off than a wizard that hits 20.Well, also if the character is built to rely upon having the item - a wizard with an 8 Intelligence that knows they'll get the Headband to get their 19 is a bit of a cheat as well...
Oh and his simulacra are going to be super lame.