Without Aim, Willpower, Strength and Cunning won't it be too simple? Even now if you found a thing with Aim, but you need Willpower, you can just use "outfits" feature, so you don't have to throw anything away.
Just don't make the game too simple.
(But the idea is kinda cool too, because, for some weird reason, you can't use "outfits" feature on your weapons. I really like some weapons' sound, so now I will have a better chance to find a weapon, which is cool and powerful in the same time)