I'm not quite sure I follow. The only way the handaxe could be more expensive would be if you gave it the "Expensive" weapon ability (or made the battleaxe "Cheap"). That could make sense for specific cases, for example if the handaxe is of particularly high quality - but if you don't want it to be more expensive, then you just don't give it the "Expensive" ability.
Yeah, I didn't explain myself there. I approached it from the standpoint that items all had to end up with a cost of +2, including cost. What that means is that certainly not all items are equal in abilities, but that is offset by their cost. For instance, two weapons that are exactly alike except one can be thrown (let's say short range), then the ranged weapon is inherently better, and should cost more. If the item is +1 point better, because of short range, I'd offset that by making it slightly more expensive, which is what you'd expect from a superior weapon.
Really, I thought about using the system to determine the final cost of weapons.
That's about all I can say for now, since I have barely used the system yet.