Go from a bow to a small gun and you're increasing in fire power! Even though the gun is small, it's still a step up from a bow.
You keep trading in weapons to get increasingly stronger gear, when you realize that at the top of the list is... a Yankee's (や) baseball bat? Huh. I would have gone for a tank or a bazooka. But I guess if this will increase your power level, you have to go for it.